Unit 7 Functions Review

Interpret Slope & y-int.

100

What is the slope?

y = -5x + 3

-5

200

What is Dionne’s hourly rate?

$12 per hour

300

What does the y-intercept represent?

Colby started with $100 in his savings account. 

400

The function below shows the cost of an ice cream sundae with different numbers of toppings (t).          f(t) = 2.25 + 0.75t

Explain what the slope means in this function. 

It costs 75 cents for each topping. 

500

Write a linear equation in slope-intercept form (y=mx+b) to model the situation.  A candle is 6 inches tall and burns at a rate of 1/2 inch per hour.

y = -1/2x + 6

Comparing Functions

100

Which has a steeper slope?
Function A:  y = -5x + 1

Function B:  y = 3x + 4 

Function A

200

Which Function has a larger y-intercept?

Function B

300

Which function has a larger y-intercept?

Function A

400

Which Function has the least steep slope?

Function B

500

Which Function has the greatest slope?
Function A:  y = 2/3x + 2
Function B:  y = 3/8x - 4
Function C:  y = 5/6x + 1

Function C

Solving Equations

100

Solve for x.
-4x - 7 = 21

x = -7

200

Solve for x.
6(-2x - 4) = 12

x = -3

300

Solve.
-5x + 4 - 3x = -2 - 8x + 10 

No Solution 

400

Solve.
-2(2x + 4) = 3(x - 12)

x = 4

500

x = 9

To Be or Not to Be

100

Is this linear or nonlinear?

y=2x^2+3

Nonlinear

200

Is the graph a function, linear, both, or neither?

Neither

300

Which are both nonlinear and a function?

A and C

400

Which of these sets are functions?
Set A:  {(0,4),(2,6),(-1,3),(4,0),(-2,3)}
Set B:  {(-4,1),(3,1),(1,3),(5,2),(-4,5)}
Set C:  {(2,7),(7,2),(0,-1),(5,-1),(1,-4)}
Set D:  {(7,8),(8,7),(5,6),(4,3),(8,6)}

Set A and C

500

Which table(s) are nonlinear?

1st (blue) and 2nd (yellow)

Scatter Plots

100

What type of association is the scatterplot?

No association 

200

How many outliers are on the scatterplot?

2 

300

Finish this sentence:  As hours of sleep increases, __________________________.

The test score increases. 

400

Answer each description.  
Form:  Linear or Nonlinear?
Direction:  Positive, Negative, or No Association?
Strength:  Weak or Strong?
Outliers:  How many?

Linear, Negative, Weak, None

500

According to the line of best fit, approximately how much would sales be when temperature is 18 degrees?

Any answer between $370 - $390 is correct.