Algebra Functions

Functions Quiz Review

function- yes or no

evaluating functions- f(3)

adding polynomials- f(x)+g(x)

subtracting polynomials- f(x)-g(x)

multiplying polynomials- f(x) x g(x)

dividing polynomials f(x)/g(x)

function word problems

Word Problem

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) = t (30 + 50)

• E(t) = 80t

Multiple Choice

A fish tank has a volume of 600 cubic inches. It is emptied at a constant rate of 10 cubic inches every minute. Which function notation equation represents the volume as a function of time?

• f(x)=600 + 10x

• f(x)=600 -10x

• f(x)=610x

• f(x)=-600 - 10x

Multiple Choice

Jason earns $10 per hour serving burgers at McDonalds. He already has $20 in his pocket. Which is a function notation representation of this situation?

• f(x) = x + 30

• f(x) = -10x + 20

• f(x)= 10x + 20

• f(x) = 20x + 10

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

Domain

The set of X-VALUES; the INPUT

Range

the set of Y-VALUES; the OUTPUT

Finding Range values for a given domain.

Find the range for f(x)= 2x + 3 given the domain {-2,5,9}.

This means that you need to find:

f(-2)

f(5)

f(9)

So... f(-2)=-1

f(5)=13

f(9)=21

So the range is {-1, 13, 21}.

Open Ended

Find the range of

$$f\left(x\right)=x^2+3x$$  if the domain is {-2, 0, 5}.

Multiple Select

 Identify the range values for the function $$f\left(x\right)=\ 2x-5$$ for the domain values  $$\left\{0,\ 1,\ 2\right\}$$  

• $$-5$$  

• $$-3$$  

• $$-1$$  

• $$0$$  

• $$1$$  

Function

a relation is which every x value is paired with EXACTLY one y value

Multiple Select

Is this a function?

• yes

• no

Multiple Select

Is this a function?

• yes

• no

Multiple Select

Is this a function?

• yes

• no

Multiple Select

Is this a function?

• yes

• no

Multiple Select

Is this a function?

• yes

• no

Multiple Select

Is this a function?

• yes

• no

Multiple Choice

A function of x consists of five ordered pairs of the form (x, y). Four of the ordered pairs are shown here. $$\left(1,\ -3\right),\ \left(3,\ 6\right),\ \left(-5,\ 7\right),\ \left(5,\ 8\right)$$  
Which could be the 5th ordered pair of the function?

• $$\left(3,\ 7\right)$$  

• $$\left(-3,\ 0\right)$$  

• $$\left(-5,\ 3\right)$$  

• $$\left(1,\ 7\right)$$  

Function Operations

Evaluating Functions

Add f(x) + g(x)

Subtract f(x) - g(x)

Multiply g(x)*h(x)

Distribute 4f(x)

Multiple Choice

What is f(2)?

• 4

• 0

• 1

• -2

Multiple Choice

What is f(1)?

• -1

• 1

• 2

• 3

Multiple Choice

$$g\left(x\right)=-2x^2+5x-1$$  Find g(-4).

• 11

• -11

• -53

• -63

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

Find f(x) - g(x)

• 2x² + 8x - 8

• 3x² + 8x - 8

• 2x² + 8x + 8

• 2x² + 4x - 8

Multiple Choice

Find f(x) + g(x).

• 3x² - 8x

• 4x² - 8x - 8

• 4x² - 8x + 8

• 4x² - 8x

Multiple Choice

let f(x)=3x - 5 and

let g(x)=x - 10.

Find f(x) x g(x).

• $$x^2-35x-4$$

  
  

• $$3x^2-4x+50$$

• $$x^2+50x-35$$

• $$3x^2-35x+50$$

Function Quiz TOMORROW!!!!

• STUDY!!!