FUNCTIONS

Evaluation Functions: Equations

Multiple Choice

If given a table or a list, how do we determine if it is a function. Page 8 - 9 in notebook.

• It is a function if there are no repeating x - values

• It is a function if there are no repeating y values.

Multiple Choice

If given a graph, how do we determine if it is a function or not. Page 8 - 9 in notebook.

• If the graph passes the horizonal line test it is a function

• It the graph passes the vertical line test, then it is a function.

Multiple Choice

#1 Simplify  $-\frac{1}{2}\left(4\right)^2$  . Show work on paper.

•  $-4$  

•  $4$  

•  $8$  

•  $-8$  

Multiple Choice

#2 Simplify  $-2\left(3\right)^2$  Show work on paper.

•  $-36$  

•  $-18$  

•  $18$  

•  $36$  

Multiple Choice

#3 Simplify  $\frac{3}{4}\left(-4\right)^2$  Show work on paper.

•  $12$  

•  $9$  

•  $-9$  

•  $-12$  

Did you find the pattern? Let's look at the answers!

Multiple Choice

Given the function

 $g\left(s\right)=\frac{1}{2}s^2+4s$  in order to find the value of g(2) what is the first step?

• Substitute 2 for s.

• Divide 2 on both sides.

• I cannot simplify because there is no x.

• Substitute 2 for g.

Remember when we are given the input value, we substitute for the independent variable then solve. So we substitute 2 for s.

Multiple Choice

#4 Given the function

 $g\left(s\right)=\frac{1}{2}s^2+4s$  find the value of g(2). Show work on paper.

• g(2) = 7

• g(2) = 6

• g(2) = $\frac{2}{3}$  

• g(2)=10

We substitute 2 for s in   $g\left(s\right)=\frac{1}{2}s^2+4s$  

 $g\left(2\right)=\frac{1}{2}\left(2\right)^2+4\left(2\right)$  

 $g\left(2\right)=\frac{1}{2}\left(4\right)+4\left(2\right)$  

 $g\left(2\right)=2+8$  

 $g\left(2\right)=10$  

Multiple Choice

THROWBACK!!

 $Simplify\ -2\left(y+4\right)$  

•  $2y+4$  

•  $-2y+4$  

•  $-2y-8$  

•  $-2y+8$  

DO NOT GET BRAND NEW ON ME!

 $-2\left(y+4\right)$  

Multiple Choice

 $Let\ r\left(s\right)=-3s-4$ . If the input is (-3i + 4) how should I find the output? *Remember, where do we substitute the INPUT?

• Substitute  $-3s\ -\ 4\$  for i.

• Substitute  $-3i+4$  for s

• Substitute  $-3i+4$  for r(s).

Multiple Choice

 $Let\ r\left(s\right)=3s-4$  

If the input is (-3i + 4) what is the output? *after we substitute*

Give answer in function notation.

•  $-9i+8$  

•  $-9i$  

•  $9i+12$  

•  $9i+8$