M3 Unit 1 Mastery Check

Given the table f(x) and the equation g(x)=(x-4)²+3, find the absolute value of the difference of the y-intercepts of f(x) and g(x).

• 15

• 19

• 17

• 23

Using the graph, what is the value of f(-4)?

• -3

• -4

• 3

• 4

Solve the piecewise equation.

• 9

• 39

• 3

• 32

f(x) = |x| is transformed to image g(x) = - |x - 8| + 4

Which most accurately describes the transformation?

• A reflection over the x-axis, shifted 8 right, and 4 up

• Shifted 8 right and 4 up

• A reflection over the x-axis, shifted 8 left, and 4 up

• Shifted 8 left and 4 up

If f(x) = 1/2x+6 and g(x) = 2^x+3, what is the approximate solution of f(x) = g(x)?

• 8

• 0

• 5.76

• -0.47

The point (-7,3) lies on the graph of the function f(x). Which of the following points lies on the inverse f^-1(x)?

• (-1/7, 1/3)

• (3,-7)

• (1/7, -1/3)

• (7,-3)

What is the inverse of f(x) = x⁴ - 9?

What is the inverse of f(x) = (x+7)³?

The point (6,-1) lies on the graph of the function f(x). Which of the following points lies on the inverse f^-1(x)?

• (-1, 6)

• (1/6,-1)

• (-6, 1)

• (-1/6,-1)

• -8.2 and -3.7

• -2.25 and 0

• -8.4 and 0.5

• 0 and -3