Name: __________________________________ Date: ________________ Class: ___________
GRADE: ____________
UNIT 4: COMPARING FUNCTIONS
 Using the equation:
 Bobby and Billy love to read! Bobby reads
𝑦 = 4𝑥 − 15
approximately 18 pages a day. Billy’s reading log is
shown below:
a) Create an equation with the same y-intercept and
different slope.
a) Who reads more quickly?
Explain how you know.
b) Create an equation with the same y-intercept and
opposite slope.
b) Create a graph for Bobby and Billy on the same grid.
Be sure to label your axes.
c) Create an equation with the same slope and different
y-intercept.
d) Create an equation with the same slope and opposite
y-intercept.
c) Based upon your graph, who will reach 300 pages
first? How do you know?
Using the graph:
a) What is the slope?
b) What is the yintercept?
c) Write an equation
for the function.
 Given the equation 𝑦 = 12 𝑥 − 4
a) Create a scenario that could be modeled by this
equation.
b) Create a table of values for at least 5 inputs.
 Fill in each blank with a square root, an example has  Solve:
been done for you:
3
(8𝑚 − 12) + 2𝑚 = −11
4
example: 5 < √28 < 5.5
a) 2 < ________ < 4
b) 8.5 < ________ < 9
c) 0 < ________ < 1.75
d) 6 < _______ < 6.5
 From 1980 to 1990 there was a shift in salaries for
 An oak tree is 30 feet from an elm tree. A snail
basketball and baseball players. The graph reflects the
average salaries for the players.
started crawling from the oak to the elm at a rate of 4
feet per hour. A turtle started crawling from the elm to
the oak at a rate of 5 feet per hour.
a) Which animal is represented by the table? How do
you know?
a) Estimate the year that the salaries where equal and
what the salaries were at that time.
b) Estimate the y-intercepts of each line.
b) Which animal is represented by the graph? How do
you know?
c) Which animal will be farthest from the oak tree after
three hours? How do you know?
d) Write an equation for each animal:
Snail
Turtle
c) Using your two estimations from part (a) and (b),
create a linear equation for each sport’s salaries.