Identifying Linear Functions
Y-intercept
Vocabulary
Word Problems
Function Notation
100

A function whose graph forms a straight line.

What is a linear function?

100
find the y-intercept from (1,2) m=2
What is b=0?
100
The initial value of a linear function
What is Y-intercept
100

Ismael started the day with an irrigation pipe of 120 feet long. He used the equation L=15s+120 to determine the total length of the pipe as new sections of pipe, s. were welded on to the end. What is the slope of the line? What does the slope represent in the context of the problem?

What is 15 feet for each section of pipe?

100
The equation y = 2x in function notation.

What is f(x)=2x

200

The definition of what makes something a function.

What is every input gives you only one output?

200
Find the y-intercept from (2,5) m=3
What is b=-1?
200
How steep a linear function is.
What is slope?
200
Ricardo is draining his pool for the winter. There are 240 gallons in the pool and it is decreasing at a rate of 20 gallons per hours. Write an equation to represent the relationship between the amount of water in the pool, y, and the number of hours the pool has been draining, x.
What is y=240-20x?
200

The equation y = 5x - 6 in function notation.

What is f(x)=5x-6?

300

Is this a function given the set of x-values {0,1,2,3} and y-values {2,4,6,4}?

What is no? The inputs 1 and 3 both gave the output 4.

300
Find the y-intercept (-2,5) m=-3
What is b=-1?
300

These functions are represented by straight lines.

What is a linear function?

300
Steven is learning to scuba dive. The equation D=20L+15 represents the depth he cna dive in feet, D, based on the number of lessons he has had, L. How deep can Steven dive after he takes 13 lessons?
What is 275 feet?
300

Write the equation in slope-intercept form of the point (-2,1) and m=-4 in function notation.

What is f(x)=-4x-7?

400

Is this a function given the set of x-values {-1,-3,-6,-7} and y-values {-5,8,3,-2}?

What is yes? Each input gave only one output (they outputs did not repeat).

400
Find the y-intercept (2,3)(3,4)(4,5)(5,6)
What is b=1
400
The definition of domain and range.

What is domain = all x-values (inputs) of the function and range = all y-values (outputs) of the function?

400
David works at the T-shirt shack selling tees. The equation y=15x-520 represents the profit that the T-shirt Shack makes for each t-shirt sold, where y is the total profit and x is the number of t-shirts sold. How many t-shirts does the T-shrit Shack need to sell to make a profit of $140?
What is 44 t-shirts?
400

Write the equation in slope-intercept form from the following points (2,1)(3,2)(4,3)(5,4) in function notation.

What is f(x)=x-1?

500

Given the domain and range, determine whether the function is continuous or discrete.

D: {0, 2, 3, 4}

R: {3, 5, 7, 8}

What is discrete? The domain and range are in sets, so it's discrete. If they were written as inequalities, the function would be continuous.

500

Find the y-int (-4,6) (-2,5) (2,3)

What is b=4?

500
A function that increases and decreases and may have a curve
What is a non-linear function?
500
Alex paints faces at kids' birthday parties to earn extra money. The equation M=2.50f+12 represents the relationship between the money she makes, M, and the number of faces she paints, f. Alex wants to buy a new pair of Uggs that cost $119.50. How many faces does she need to paint?
What is 43 faces?
500

Find the equation from the following points (-2,5)(0,3)(2,1) and write it in function notation.

What is f(x)=x+3?

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