Evaluating Functions
Modeling with Realistic Domain & Range
Graphs of functions
Average Rate of Change
Function Inverses
100
What is the output for the function f(x) = 4x - 2 when the input is 4?
14
100
A train leaves the station at t = 0. Traveling at a constant speed, the train travels 360 kilometers in 3 hours.
Write a function that relates the distance traveled, d, to the time, t.
d = 120t
100
Graph f(x)=2x
100
Find the slope of the line: 
-2/3
100
Find the inverse:
y=8x
y=x/8
200
What is the output for the function g(x) = 3x - 9 when x = -2?
-15
200
An online clothing company sells sweatshirts. The company charges $6.50 for each sweatshirt and a flat $3.99 fee for shipping.
Write a linear function in slope-intercept form that represents the total cost, y, in dollars for a single order of x sweatshirts.
y = 6.5x + 3.99
200
What is the graph of y=3x+1 ?
200
What is the average rate of change between x=0 and x=7?
0
200
Find the inverse:
y=12x+3
y=1/12x-1/4
300
f(4)=6
300
An online clothing company sells sweatshirts. The company charges $6.50 for each sweatshirt and a flat $3.99 fee for shipping.
What is a reasonable domain for this function?
Positive whole numbers.
300
Graph g(x)=1/4x-4
300
What is the average rate of change from 0 to 20 seconds? 
2 meters per second
300
Find the inverse:
f(x)=x+20y=x-20
400
Find f(5)
f(5)=3
400
Ms. Bitts is looking at a graph that shows a line drawn between two points with a slope of -5.
One of the points is smudged and she cannot read it. The points as far as she can tell are (3,5) and (x, 10).
What must be the value of x be?
x = 2
400
Graph the piecewise-defined function
f(x)={2x+4,(x<-2), -1/2x+1,(x>=-2):
400
What was the average rate of change of the temperature from 2 to 5 in the afternoon? 
The temperature increased roughly 2 degrees per hour.
400
Find the inverse:
g(x)=1/2x-5
y=2x+10
500
Find f(5)
f(5)=6
500
The function T(f) describes the temperature in degrees Celcius of the walk-in freezer at different times in a certain restaurant.
What would a reasonable range for this function be?
Negative real numbers
500
Graph the function
y=abs(x-3)+2
500
What is the average rate of change from 20 seconds to 160 seconds after liftoff? 
-10/140, or -1/14 meters per second.
500
Find the inverse:
h(x)=1/3x +2/3x -8
y=x+8