Precalculus Chapter 1 Practice Test

The roots of the equation x² - 8x - 20 = 0 are ____.

• 2 and 10

• -2 and 10

• -2 and -10

• 2 and -10

Tags

CCSS.HSA-REI.B.4B

Find the vertex of the graph of f(x) = x² + 4x - 5.

• (-2, -9)

• (-2, 9)

• (0, -5)

• (2, 7)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.B.4

If j(x) = x² + 1, find j(a + 1).

• a² + 2a + 2

• a² + a + 1

• a² + a + 2

• a² + 2a + 1

Tags

CCSS.HSF.IF.A.2

• all real numbers except 0, 1, and 3

• all real numbers except 0 and 3

• all real numbers except 0

• all real numbers except 3

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Consider the graph of f(x) shown. Which of the following corresponds to the function value at x = –3?

• 5

• –2

• –8

• 2

Tags

CCSS.HSF.IF.A.2

Use the graph of f to find the domain and range of the function.

• D = (−3, 3], R = [–3, 0]

• D = [−3, 3), R = [–3, 0]

• D = (−3, 3), R = [–3, 0]

• D = [−3, 3], R = [–3, 0]

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Determine whether the function f(x) = is continuous at x = 1.

• Yes, it is continuous at x = 1, but not at x = -1.

• None is correct.

• No, because substituting x = 1 results in a denominator of 0.

• Yes, the inability to divide by 0 has no bearing on this problem.

Determine the type of discontinuity this function exhibits.

• jump discontinuity

• none of these

• point discontinuity

• infinite discontinuity

Tags

CCSS.HSF-IF.C.7B

Determine the intervals on which the function f(x) = x³ + x² + x is increasing and the intervals on which the function is decreasing.

• increasing for all x

• increasing for x < 0

  decreasing for x > 0

• decreasing for all x

• increasing for x < 0 and increasing for x > 0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Locate the extrema for the graph of y = f(x).

• The extrema are (-2, 1) and (4, 3).

• The extrema are (-2, 1), (1, -1) and (4, 3).

• The extrema are (-2, 1) and (1, -1).

• The extrema are (-1, 1) and (4, 3).

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10