Functions Composite Functions Inverse Functions Transformations

Given f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Tags

CCSS.HSF-BF.A.1C

f(x) = 3x + 10
g(x) = x - 2

Find (f∘g)(0)

Tags

CCSS.HSF-BF.A.1C

g(x)=3x+4 h(x)=3x-1 Find (g∘h)(x)

Tags

CCSS.HSF-BF.A.1C

Describe the transformation

• left 2 up 5

• right 2 up 5

• left 2 down 5

• right 2 down 5

Tags

CCSS.HSF.BF.B.3

Which parent function matches the graph?

• y = |x|

• y = x

• y = x²

• y = 2^x

Name the parent function. 

• constant

• square root

• linear

• absolute value

Describe the transformation.

• up 3

• down 3

• left 3

• right 3

Tags

CCSS.HSF.BF.B.3

Describe the transformation that is applied to the parent function. f(x) =  3 Ix+8I

• Stretches by 3, Shifts left 8

• Stretches by 3, Shifts right 8

• Stretches by 3, Shifts up 8

• Stretches by 3, Shifts down 8

• -19
• -21
• 17
• -1

Tags

CCSS.HSF-BF.A.1C

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function always becomes the domain of its inverse.

• The domain of a function always becomes the range of its inverse.

Tags

CCSS.HSF-BF.B.4C