Graphing Linear Functions

Functions (Section 3.1)

100

Function or not?

What is a Function

200

Function of not?

What is not a function

300

You can use this method to determine if a graph is a function

What is the Vertical Line Test

400

Find the range:

What is -3 <= y <= 2

500

Find the Domain

What is -1 <= x <= 3

Linear Functions (Section 3.2)

100

Find the slope:

Bonus:  Find the equation of the line

What is slope = -15

Bonus if you found equation:  y = -15x + 20

200

Complete the table for a linear function:

What values are 2, 5, and 8

300

Find the slope:  (-3, 5), (-11, 9)

What is -1/2

400

Give the slope of the line:

Bonus, give the equation

What is 5/3

Equation:  y = 5/3x + 3

500

Complete :  

What is 5 hours for $51.00

What is $10.20 per hour

Function Notation (Section 3.3)

100

Evaluate the function when x = -2:

r(x) = -x - 7

What is -5

200

Let c(t) be the number of customers in a restaurant t hours after 8am. Explain the meaning of:

c(3) < c(10)

What is at 11 am there are less customers in the restaurant than at 6pm.

300

For g(x) = -5x + 1, find the value of x  for which 

g(x) = = -9

What is when x = 2, g(x) = -9

400

The function y = A(x) represents the attendance at a high school x weeks after a flu outbreak.  Estimate A(4) and A(13) and explain their meaning.

What is at A(4) (week 4) there is approximately 100 students out of school.  At A(13) (week 13), only about 25 students are out of school.  Attendance is on the upswing and returning to normal. By week 16 attendance is normal. 

500

Let b(t) be your bank account balance after t days.  Describe a situation in which b(0) < b(4) < b(2)

(something like)

What is 2 days after the first day there is more money in the account, probably a paycheck.  Bills were paid (or another way that money left the account) to where on day 4 there is less money than day 2 but more than on day 0. 

Graphing in Standard Form (Section 3.4)

100

Ax + By = C

What is Standard Form

200

Give the equation:  

What is y = 4

300

Find the x and y intercept for:

3x - 6y = 2

What is x = 2/3 and y = -1/3

400

Describe and correct the error:

The answer is backward.  Should be: 

x intercept is at (5, 0), y intercept is at (0, 2)

500

Write the equation of the line in Standard Form.  The sum of the terms is 30.  Pay attention to the numbering:

What is 6x + 3y = 30

Graphing in Slope - Intercept Form (Section 3.5)

100

Which does not belong, and why?

a) y = -5x - 1

b) 2x - y = 8

c) y = x + 4

d) y = -3x + 13

What is b.

It is not in Slope - Intercept Form

200

The line is -5x = 8 - y.  Give the slope and y-intercept.

What is slope = 5 and the y - intercept = 8

300

The graph shows the distance 'y' in miles and the time 'x' in hours.  Interpret the slope.

What is the bus travels 60 miles in 1 hour.

400

Give the equation of the line:

What is y = -3x - 1

500

Describe and correct the error

What is y = -2x + 4

In Standard Form would be y = 4x - 2.

Slope should be negative, 2 up and 1 left  would be -2x.  y intercept is 4.

Graphing Absolute Value Functions. (Section 3.7)

100

f(x) = |x|

What is the Parent Function for Absolute Value Equations

200

What stretch and shrink do

What is stretch (vertical) moves towards the y axis and shrink (vertical) moves away from the y axis

300

f(x) = a |x - h| + k, what happens when 'h' is negative?

What is a shift to the left

400

f(x) = -3 |x| + 7

Give the transformation

What is a reflection over x, a vertical stretch by a factor of 3 and a shift upward of 7 units

500

Explain and correct the error:

What is the shift should be 1 unit to the right of y = |x|.