Benchmark 2 Practice, Algebra 1

Which function is graphed?

• f(x) = 2|x + 2| -4

• f(x) = 2|x - 4| + 2

• f(x) = |x + 2| - 4

• f(x) = -2|x - 4|

Tags

CCSS.HSF-IF.C.7D

Solve |2x –3| + 5 =10.

• -1, 1

• -1, 4

• -1, -4

• 1, 4

What is the range of the function?
*Hint: Range is all of the y-values included in the function. 

• y≤3

• y≥3

• All real numbers

• -6≤y≤3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.

• x≥3

• x≤3

• All real numbers

• -1≤x≤5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

• A
• B
• C
• D

Tags

CCSS.HSN.CN.A.3

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Tags

CCSS.HSF-IF.C.7A

Determine the value of the discriminant and name the nature of the roots for the following:

x² + 7x + 13

Remember: b² - 4ac

• 400, 2 real root

• 0, 1 real root

• -400, 2 imaginary roots

• -3, 2 complex (or imaginary) roots

Tags

CCSS.HSA-REI.B.4B

Given f(x) = 3(x-3)² + 5.  What transformations took place from the original function f(x)?

• Right 3 and up 5

  Vertical Compression by a factor of 3

• Right 3 and down 5

  Vertical Stretch by a factor of 3

• Left 3 and down 5

  Vertical Compression by a factor of 3

• Right 3 and up 5

  Vertical Stretch by a factor of 3

On which interval(s) is the given function increasing?

• (-∞, 2) U (-2, ∞)

• (-2, 2) U (-2, ∞)

• (-∞, -2) U (0.5, ∞)

• (0, 2) U (0.5, ∞)

Describe the end behavior of the function.

Tags

CCSS.HSF-IF.C.7B