Functions Review

The graph of the linear function y = x is shown.

What will happen to the graph if the equation is changed to y = x+3?

• The graph will become steeper.

• The graph will become flatter.

• The graph will shift up 3 units.

• The graph will shift down 3 units.

Mark all of the following that represent a function. You may mark more than one.

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Tags

CCSS.8.F.A.1

Which line does NOT represent a function?

• Line A

• Line B

• Line C

• Line D

The graph of a function is shown below.Based on the graph, what is the domain of this function?

• $-40<x<60$

• $-40≤x≤60$

• $-60<x<50$

• $-60≤x≤50$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the value of this function evaluated at f(–3)?
 $f(x)=2x^2+5x–9$  

• –6

• –42

• 42

• 12

Tags

CCSS.HSF.IF.A.2

If f ( x ) = ( x − 3)² + 4 and g ( x ) = x³ + 2, which statement is true?

• $f(−2)=g(−3)$

• $f(0)=g(−1)$
  

• $f(8)=g(3)$

• $f(2)=g(1)$

Tags

CCSS.HSF.IF.A.2

Which graph represents a function with a range of all real numbers greater than –4 and less than or equal to 7?

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Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

If the graph of the equation y = x is translated down 4 units, what is the equation of the new line?

• $y=-4$

• $y=-4x$

• $y=\left(x+4\right)$

• $y=x-4$

An exponential function is shown.

What are the domain and range for the representative exponential function?

• Domain: y > 0

  Range: All Real Numbers

• Domain: All Real Numbers

  Range: y ≥ 0

• Domain: y ≥ 0

  Range: All Real Numbers

• Domain: All Real Numbers

  Range: y > 0

 $f(x)=3x-2$  

If the domain of the function is {–1, 0, 1}, what is the range of the function?
Put your answer in set notation { } and use commas.