Foundations of Math Functions Review

Was the inverse function found correctly?

• no

• yes

Match the equation to its description.

• Vertical stretch and up 4

• Horizontal stretch and up 4

• Vertical stretch and left 4

• Horizontal stretch and left 4

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4

• a reflection across the line y = -4

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

Consider the functions f(x) and g(x).

 f\left(x\right)=\left|x+3\right|-5 
g\left(x\right)=\left|x-5\right|+15 
To map the function f(x) to the function g(x), the graph moves       
(i) _____ and (ii) _____.

• (i) left 2, (ii) down 10

• (i) left 8, (ii) down 20

• (i) right 2, (ii) up 10

• (i) right 8, (ii) up 20

Which ordered pairs are solutions to the system of equations shown on the graph below? Select all that apply.

• (-3,1)

• (-3,5)

• (0,-1)

• (1,-3)

In order to find the point where the functions f(x)=-\frac{1}{4}x+2 and g(x)=-2|x-1|+4 intersect, a student finds approximate solutions to the equation f(x) = g(x). What are the approximate or exact solutions to the equation?

• x = 0, x = 2

• x = 2, x = 1.429

• x = 0, x = 2.286

• x = 2.286, x = 1.149}

Using the pictured graph, what is f(-3)?

• -3

• -1

• 1

• 3

Find f(0)

• -3

• 18

• 4

• 0

Evaluate f(-2) - f(6).

• 6

• 2

• -2

• -6

f(1) =

• -2

• -1

• 0

• 1

• 2