functions

What is the definition of function?

• Has inputs and outputs
• Every input has only ONE output
• Inputs have different outputs every time
• x-values and y-values

Is this mapping a function or not a function? 

• Function
• Not a Function

• 27

• 21

• 24

• 72

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Find the inverse of the function
f(x) = 3x − 5

• f^-1(x)=3x +5
• f^-1(x)=(x+5)/3
• f^-1(x)=3y-5
• f^-1(x)=3y+5

The inverse of  $f(x)=x^2-1$  is  $f^{-1}(x)=(x+1)^{\frac{1}{2}}$  .

• True

• False

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

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

• -42
• -26
• -18
• None of these.

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

• g(f(x))= -3x²-6
• g(f(x))= -3x²+2
• g(f(x))=9x²+2
• g(f(x))= -9x²+2

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

• f(g(x))= -6x²+31
• f(g(x))= -6x²+24
• f(g(x))=18x²-84x+6
• f(g(x))=9x²-42x-1