Ch8 Test Questions & Answers Conics And Systems Of Nonlinear - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.

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Ch8 Test Questions & Answers Conics And Systems Of Nonlinear

College Algebra, 5e (Young)

Chapter 8 Conics and Systems of Nonlinear Equations and Inequalities

8.6 Systems of Nonlinear Inequalities

1) Graph the nonlinear inequality.

An inequality reads, y lesser than or equal to x squared minus 2.

A solid parabola is graphed on an x y coordinate plane. Both the axes range from negative 6 to 6, in increments of 1. The parabola opens upward, with its vertex at (0, negative 2). The parabola passes through the points (negative 2, 2) and (2, 2). The region excluding the parabola is shaded. All values are estimated.

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 06

Learning Objective: Graph a nonlinear inequality in two variables.

2) Graph the nonlinear inequality.

An inequality reads, y lesser than or equal to x squared minus 2.

A)

A solid parabola is graphed on an x y coordinate plane. Both the axes range from negative 6 to 6, in increments of 1. The parabola opens upward, with its vertex at (0, negative 2). The parabola passes through the points (negative 2, 2) and (2, 2). The region excluding the parabola is shaded. All values are estimated.

B)

A dashed parabola is graphed on an x y coordinate plane. Both the axes range from negative 8 to 8, in increments of 1. The parabola opens upward, with its vertex at (0, 2). The parabola passes through the points (negative 2, 5) and (2, 5). The region within the parabola is shaded. All values are estimated.

C)

A solid parabola is graphed on an x y coordinate plane. Both the axes range from negative 8 to 8, in increments of 1. The parabola opens upward, with its vertex at (0, 2). The parabola passes through the points (negative 2, 5) and (2, 5). The region within the parabola is shaded. All values are estimated.

D)

A dashed parabola is graphed on an x y coordinate plane. Both the axes range from negative 6 to 6, in increments of 1. The parabola opens upward, with its vertex at (0, negative 2). The parabola passes through the points (negative 2, 2) and (2, 2). The region excluding the parabola is shaded. All values are estimated.

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 06

Learning Objective: Graph a nonlinear inequality in two variables.

3) Match the graph to the nonlinear inequality.

A solid parabola is graphed on an x y coordinate plane. Both the axes range from negative 6 to 6, in increments of 1. The parabola opens upward, with its vertex at (0, negative 2). The parabola passes through the points (negative 2, 2) and (2, 2). The region excluding the parabola is shaded. All values are estimated.

A) An inequality reads, y lesser than or equal to x squared minus 2.

B) An inequality reads, y greater than x squared plus 2.

C) An inequality reads, y greater than or equal to x squared plus 2.

D) An inequality reads, y lesser than x squared minus 2.

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 06

Learning Objective: Graph a nonlinear inequality in two variables.

4) Graph the nonlinear inequality.

An inequality reads, y lesser than or equal to x cubed.

A curve is graphed on an x y coordinate plane. Both the axes range from negative 4 to 4, in increments of 0.5. The curve increases concave down from (negative 1.7, negative 4) to (negative 0.4, 0), passes through the origin, and increases concave up from (0.4, 0) to (1.7, 4). The right side of the region of the curve is shaded. All values are estimated.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 06

Learning Objective: Graph a nonlinear inequality in two variables.

5) Graph the nonlinear inequality.

An inequality reads, y greater than or equal to negative x cubed.

A)

A curve is graphed on an x y coordinate plane. Both the axes range from negative 4 to 4, in increments of 1. The curve decreases concave up from (negative 1.5, 4) and passes through (negative 0.5, 0), and (0.5, 0). The curve then decreases concave down from (0.5, 0) and passes through (1.5, negative 4). The region above and to the right of the curve is shaded. All values are estimated.

B)

A curve is graphed on an x y coordinate plane. Both the axes range from negative 4 to 4, in increments of 1. The curve decreases concave up from (negative 1.5, 4) and passes through (negative 0.5, 0), and (0.5, 0). The curve then decreases concave down from (0.5, 0) and passes through (1.5, negative 4). The region below and to the left of the curve is shaded. All values are estimated.

C)

A curve is graphed on an x y coordinate plane. Both the axes range from negative 4 to 4, in increments of 1. The curve increases concave down from (negative 1.5, negative 4) and passes through (negative 0.5, 0), and (0.5, 0). The curve then increases concave up from (0.5, 0) and passes through (1.5, 4). The region above and to the left of the curve is shaded. All values are estimated.

D)

A curve is graphed on an x y coordinate plane. Both the axes range from negative 4 to 4, in increments of 1. The curve increases concave down from (negative 1.5, negative 4) and passes through (negative 0.5, 0), and (0.5, 0). The curve then increases concave up from (0.5, 0) and passes through (1.5, 4). The region below and to the right of the curve is shaded. All values are estimated.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 06

Learning Objective: Graph a nonlinear inequality in two variables.

6) Match the graph to the nonlinear inequality.

A parabola is graphed on an x y coordinate plane. Both the axes range from negative 4 to 4, in increments of 1. The parabola opens upward, with its vertex at (0, 0). The parabola passes through the points (negative 1.5, 4), (negative 1, 1), (1, 1), and (1.5, 4). The entire region below the curve is shaded. All values are estimated.

A) An inequality reads, y lesser than or equal to x to the power of 4.

B) An inequality reads, y greater than or equal to negative x to the power of 4.

C) An inequality reads, y lesser than or equal to negative x to the power of 4.

D) An inequality reads, y greater than or equal to x to the power of 4.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 06

Learning Objective: Graph a nonlinear inequality in two variables.

7) Graph the system of inequalities.

Two inequalities. y lesser than or equal to x squared plus 1. y greater than or equal to x squared minus 1.

Two upward parabolas are graphed on an x y coordinate plane. Both the axes range from negative 2.0 to 2.0, in increments of 0.25. The first parabola with its vertex at (0, negative 1.0) passes through the points (negative 1.75, 2.0), (negative 1.0, 0), (1.0, 0), and (1.75, 2.0). The second parabola with its vertex at (0, 1.0) passes through the points (negative 1.0, 2.0), and (1.0, 2.0). The region between the parabolas is shaded. All values are estimated.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 06

Learning Objective: Graph a system of nonlinear inequalities in two variables.

8) Graph the system of inequalities.

An inequality reads, x squared plus y squared lesser than 25. y greater than 2.

A)

A dashed circle of radius 5 and a dashed line are graphed on an x y coordinate plane. Both the axes range from negative 6 to 6, in increments of 1. The circle is centered at the origin. The dashed line is a horizontal asymptote, passing through (0, 2). The region between the circle and above the line, is shaded.

B)

A solid circle of radius 5 and a solid line are graphed on an x y coordinate plane. Both the axes range from negative 6 to 6, in increments of 1. The circle is centered at the origin. The line is a vertical asymptote, passing through (2, 0). The entire region to the left of the line excluding the circle is shaded.

C)

A dashed circle of radius 5 and a dashed line are graphed on an x y coordinate plane. Both the axes range from negative 6 to 6, in increments of 1. The circle is centered at the origin. The dashed line is a horizontal asymptote, passing through (0, 2). The entire region below the dashed line excluding the area of the circle, is shaded.

D)

A dashed circle of radius 4 and a dashed line are graphed on an x y coordinate plane. Both the axes range from negative 5 to 5, in increments of 1. The circle is centered at the origin. The dashed line is a vertical asymptote, passing through (2, 0). The region between the circle and to the right of the dashed line is shaded.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 06

Learning Objective: Graph a system of nonlinear inequalities in two variables.

9) Match the graph to the system of inequalities.

A dashed circle of radius 3 and a dashed line are graphed on an x y coordinate plane. Both the axes range from negative 5 to 5, in increments of 0.5. The circle is centered at the origin. The line slopes downward through (0, 3) and (3, 0). The region between the circle and above the line, is shaded.

A)

An inequality reads, x squared plus y squared lesser than 9. x plus y greater than 3.

B)

Two inequalities. x squared plus y squared lesser than or equal to 9. x plus y lesser than or equal to 3.

C)

An inequality reads, x squared plus y squared greater than 9. x minus y greater than 3.

D)

An inequality reads, y lesser than negative x squared plus 1. y greater than x squared minus 1.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 06

Learning Objective: Graph a system of nonlinear inequalities in two variables.

10) Find the area enclosed by the system of inequalities:

(x) with superscript (2) + (y) with superscript (2) < 1

y < 0

A) π/4 square units

B) π/2 square units

C) π square units

D) The region is not bounded (the area is infinite)

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 06

Learning Objective: Graph a system of nonlinear inequalities in two variables.

11) Graph the nonlinear inequality.

(x) with superscript (2) - 6x + (y) with superscript (2) + 2x + 10 ≤ 4

A solid circle of radius 2 is graphed on an x y coordinate plane. Both the axes range from negative 6 to 6, in increments of 1. The circle is centered at (3, negative 1). The entire region of the circle is shaded.

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 06

Learning Objective: Graph a nonlinear inequality in two variables.

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Document Type:
DOCX
Chapter Number:
8
Created Date:
Aug 21, 2025
Chapter Name:
Chapter 8 Conics And Systems Of Nonlinear Equations And Inequalities
Author:
Cynthia Y. Young

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