Functions (Algebra)

Functions (Algebra)

Mrs. Moody

Function Coordinates

f(x) = y translates to (x, y)

Coordinates on the graph and translated to function form

f(0)=3 can also be represented by (0,3)

f(5) = -2 can also be represented by (5, -2)

Multiple Select

Which coordinates are on the function graph?

• f(0) = 0

• f(1) = 2

• f(3) = -3

• f(1) = -1

Function Word Problems

It is well known that the more you prepare, the better you will do on a test in school. Let’s assume that if you just pay attention in class and take good notes, you will pass with a 60. For each hour that you spend studying (including all of the homework you do), your test grade will go up 8 points.

Function: f(h) = 60 + 8h

What does f(3) = 84 mean?

Multiple Choice

Charlie worked for a stone setting company this past summer. He earned $50 just for coming to work and an additional $30 every hour for each hour he worked. Which equation is a function for earnings E as a function of time worked t (in hours)

• E(t) = 50t + 30t

• E(t)= 50 + 30t

• E(t) = 80t

• E(t) = t (30 + 50)

The value V of a digital camera t

years after it was bought is represented by the function V(t)=875−50t

• starting value is $875

• going down in value $50 each year

• value of the camera is dependent on time

Multiple Choice

Joey currently owes $35,000 in student loans and is making payments of $250 each month.

Which function notation describes the situation?

• f(x) = 35,000 +250x

• f(x) = -35,000 + 250x

• f(x) = -35,000 - 250x

Function Operations

• Add f(x) + g(x)

• Subtract f(x) - g(x)

• Multiply g(x)*h(x)

• Distribute 4f(x)

Multiple Choice

Let

 $f\left(x\right)=4x-3\$  $h\left(x\right)=x-1$   Find f(x)*h(x)

•  $-3x-3$  

•  $4x^2+3$  

•  $4x^2+7x-3$  

•  $4x^2-7x+3$  

Multiple Choice

Let

 $f\left(x\right)=4x-3\$   $h\left(x\right)=x-1$  Find  $f\left(x\right)-h\left(x\right)$  

•  $3x-2$  

•  $5x-4$  

•  $5x-3$  

•  $3x-4$  

Multiple Choice

Let

 $f\left(x\right)=-2x^2+5x-3\$  Find  $-3f\left(x\right)$  

•  $6x^2+15x+9$  

•  $6x^2+5x-3$  

•  $6x^2-15x+9$  

Multiple Choice

Which coordinate is on the graph?

• f(4) = 2

• f(0) = 0

• f(-2) = -1

• f(2) = 2

Function Quiz Thursday

More Review Tomorrow