Comparing Functions
Writing Equations/ Functions
Function Notation
Parallel/Perpendicular Lines
Random
100
Which function has the greater y-intercept?
Function A: y = -2.5x - 7
Function B: 3x + 4y = -12
What is B
100
Sam borrows 200 dollars from his father. He pays back 25 dollars each month. Write an equation that shows how much he owes after x months.
What is y = 200 - 25x ?
100
Given the function: f(x) = 3x - 4
Find f(x) = -16
What is -4?
100
Write the equation of a line that is parallel to y - 2x = 3 and passes through (6, 2).
What is y = 2x - 10
100
Write an equation for the table below:
What is y = 2x + 1
200
Which function has the greater slope?
Function A: y = x + 2
Function B: (-2, -6), (0, -3), (2, 0)
What is Function B; m = 3/2
200
John is mowing lawns. He pays $350 for a lawn mower and then earns $20 per lawn mowed. Write an equation to find his profit.
What is y = 20x - 350
200
Jakhyra has scored 35 points this season and is scoring 7 points each quarter. How many points does she have at the 3rd quarter?
What is 56 points
f(x) = 7x + 35 f(3) = 7(3) + 35 f(3) = 56
200
What is the slope of a line perpendicular to
-3/2y = x - 9?
What is 3/2
200
Are these Parallel, Perpendicular, or Neither:
-3 + 3y = 2x
y = -2/3x + 4.
What is neither?
300
Smart Student Learning Center charges students a registration fee of $25, plus an hourly rate of $30 for after-school tutoring. Brilliant Student Learning Center charges students for after-school tutoring as follows: 1 hr = $45, 3 hr = $115, 5 hr = $185, 7 hr = $255. Which center has a cheaper registration fee?
What is Brilliant Student Learning Center
300
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 kilograms and gained weight at a constant rate. After 8 months, he weighed 138 kilograms.
Use the function notation W(t), where t represents time in months, to write a function that models model the situation.
What is W(t) = 6t + 90
300
Suppose that the function f(x) = 2x + 12 represents the cost to rent x movies a month from an internet movie club. John now has $10. How many more dollars does John need to rent 7 movies next month?
What is 16
300
Write the equation of a line that is parallel to 2x + y = 4 and passes through (8, 8).
y = -2x + 24
300
Write the equation of a line that is perpendicular to 6y = -5x - 18 and whose y-intercept is (0,11).
y = 6/5x + 11
400
Kelly's Equipment Rental charges based off the equation y = 5x + 25. Wendy's rental charges: 2 hr = $35, 5 hr = $65, 7 hr = $85. Who charges a lower flat fee and by how much?
What is Wendy, by $10
400
Cell phone Company A charges a $10 start-up fee plus $0.10 per minute, x. Cell phone Company B charges $0.20 per minute, x, with no start-up fee. Which function represents the difference in cost between Company A and Company B?
What is f(x) = -0.10x + 10.
400
Abby is tracking the progress of her plant's growth. Today the plant is 5 cm high and is growing 1.5 cm per day. Write a function for the scenario and find how tall will the plant be in 20 days.
What is 35 cm tall.
f(x) = 1.5x + 5; f(20) = 1.5(20) + 5 = 30 + 5 = 35
400
Find the equation of a line that is perpendicular to y = -5x + 2 and passes through the point (10, 6).
y = 1/5x + 4
400
Given the function:
f(x) = x^2 + 2x – 1
Find f(–3)
What is 2?
500
Lucy and Barbara began saving money the same week. The table below shows the models for the amount of money Lucy and Barbara had saved after x weeks. After how many weeks will Lucy and Barbara have the same amount of money saved?
Lucy’s Savings: F(x) = 10x + 5
Barbara’s Savings: F(x) = 7.5x + 25
What is 8 weeks.
500
Mr. Mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a constant rate. After 6 minutes, he was 16 meters below the ground.
Use the function notation A(t) (where t represents time in minutes) to write a function that models the situation.
A(t) = -3/2t - 7
500
Given the following function:
f(x) = x^2+9x + 2
Find f(3)
What is 38?
500
Write an equation of the line that passes through (-3,-1) and is perpendicular to
y = 6/5x + 11
y = -5/6x + 3/2
500
Dennis compared the y-intercept of the graph of the function f(x) = 3x + 5 to the y-intercept of the graph of the linear function that includes the points in the table below. What is the difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x)?
x | -7 -5 -3 -1
g(x) | 2 3 4 5
What is 1/2