Function Notation & Tables

Function Notation & Function Tables

Algebra 1

To write a function rule from a table, you will need to find the y-intercept and slope of the function.

Multiple Choice

What is the function rule for this table?

• 
  

  $f\left(x\right)=-4x-6$

• $f\left(x\right)=4x-6$

• $f\left(x\right)=4x+6$

• $f\left(x\right)=-4x+6$

Open Ended

The table doesn't show the cost for 0 bracelets... We need this information, because the y-intercept of our function is the output when the input is 0. So, how can we find the y-intercept of the function?

Multiple Choice

By extending the table and using the slope to fill in the missing outputs, we can work backwards and calculate the y-intercept of a function. What is the function rule for this table?

• 
  

  $f\left(x\right)=15x+2$

• $f\left(x\right)=2x+15$

• $f\left(x\right)=-15x+2$

• $f\left(x\right)=2x-15$

Multiple Choice

Write the linear function for the data in this table using function notation.

• 
  

  $f\left(x\right)=\frac{1}{3}x+2$

• $f\left(x\right)=3x+1$

• $f\left(x\right)=3x-2$

• $f\left(x\right)=-2x+3$

Multiple Choice

What is the OUTPUT when the INPUT is -3 ?

 $f\left(x\right)=4x-2$  

• -1/4

• 1/4

• 10

• -14

Multiple Choice

 What is the INPUT when the OUTPUT is 8?

• 0

• 4

• 2

• 16

Multiple Choice

 What is the INPUT when the OUTPUT is -3 ?

 $f\left(x\right)=\frac{1}{2}x-5$  

• -7

• -6.5

• 7

• 4