Precalculus Chapter 1 Pretest

1. State the domain and range of the function shown in set-builder notation.

• Domain: {x | x ∈ ℝ}, Range: {y | y ≥ 0}

• Domain: {x | x ≥ 0}, Range: {y | y ∈ ℝ}

• Domain: {x | x ∈ ℝ}, Range: {y | y ∈ ℝ}

• Domain: {x | x ≥ 0}, Range: {y | y ≥ 0}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Find the zero of f(x) = 5x - 1/2.

• 1/10

• -1/10

• 0

• 1/2

Tags

CCSS.HSA.REI.B.3

• Even

• Odd

• Neither

Tags

CCSS.HSF.BF.B.3

Determine whether f(x) = (x^2 + 9)/(x + 3) is continuous at x = -3. If discontinuous, identify the type of discontinuity as infinite, jump, or removable.

• Continuous

• Infinite discontinuity

• Jump discontinuity

• Removable discontinuity

Tags

CCSS.HSA.APR.D.6

• (-∞, 5]

• [5, ∞)

• (-∞, ∞)

• [0, ∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Graph f(x) = |x + 3|.

• A V-shaped graph with vertex at (-3, 0)

• A straight line passing through the origin

• A parabola opening downwards

• A horizontal line at y = -3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the inverse of f(x) = x^3 - 4?

• f^(-1)(x) = x^(1/3) + 4

• f^(-1)(x) = (x + 4)^(1/3)

• f^(-1)(x) = x^3 + 4

• f^(-1)(x) = (x - 4)^(1/3)

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

What is the zero of g? (Select the circle that best represents your answer)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

Find h(5) using the equation.

• -25

• 25

• 3

• 7

• undefined

Complete the chart by labeling the rules with the resulting transformations

a

b

c

h

g

e

f

shift left "h" units

shift right "k" units

vertical stretch (narrower)

reflect across the x-axis

shift up "k" units

shift right "h" units

shift down "h" units

reflect across the y-axis

shift down "k" units

vertical compression (wider)

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5