Am I A Function?
Domain & Range
Evaluating Functions
Interpreting
Parallel and Perpendicular
100
What is No, not a function? It does not pass the vertical line test.
100
What is the RANGE of the situation?
{0,20,40,60,80,100,120}
100
Find f(-3)
f(x)=2x+1
f(-3)=-5
100
An online booking agency charges for tickets and includes a ticketing fee for each order. The total charge, c, in dollars, for any number of tickets, t, is described by the function below. Interpret the slope and the y-intercept in this context.
c = 20t + 4
One ticket costs $20, and the ticketing fee is $4.
100
What is the slope of a line that is parallel to:
y = -3x + 5
m= -3
200
What is Yes?
200
Determine the domain of the function.
{-1, 1, 2, 4}
200
Find g(18)
g(n)=-0.5n-1
g(8)=-10
200
Michael spent $18 at the candy store buying x chocolate bars and y bags of gummy bears. The equation below shows the relationship between the number of gummy bears and chocolate bars he bought. What do the values of 4 and 3 represent?
4x+3y=18
Michael will pay $4 for each chocolate bar and $3 for each bag of gummy bears.
200
What is the slope of a line that is perpendicular to:
y = \frac{3}{5}x - 10
m= -\frac{5}{3}
300
The mapping diagram shows a function or not.
What is No, not a function?
300
Determine the range of the function
[-1,infty)
300
Find h(-10)
h(x)=\frac{-4}{3}x + 6
h(-10)= -\frac{22}{3}
300
Michael spent $18 at the candy store buying x chocolate bars and y bags of gummy bears. The equation below shows the relationship between the number of gummy bears and chocolate bars he bought. What would the solution (3,2) represent?
4x+3y=18
Michael bought 3 chocolate bars and 2 bags of gummy bears.
300
Write the equation of a line that is parallel to the equation below and passes through (-5, 3).
g(x)=\frac{1}{4}x + 3
y=\frac{1}{4}x + 4.25
400
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
What is No, because the domain of 2 has two different ranges 5 and 9
400
State the domain AND range of the function.
D:(-infty,infty), R: (-infty,9]
400
What is P(-3)
P(x)=x^2+ 5x + 2
P(-3)=-4
400
The average national math test scores f(t) for 17-year-olds can be represented as a function of the national sciences scores t by f(t) = 0.8t + 72. Interpret the slope and intercept.
The slope of 0.8 means that for each point the science score increases, the math score increases by 0.8 points.
The y-intercept of 72 means that when the science score is 0, the math score is 72.
400
Write the equation of a line that is perpendicular to the equation below and passes through (9, -7).
h(x)= 2x + 3
y = -\frac{1}{2}x - 2.5
500
Is this a function and why?
What is no, because the domain of 8 repeats?
500
A car's oil tank holds 5 quarts of oil. The distance the car can drive before the oil tank needs to be refilled in a function of the number of quarts of oil in the tank. Give a reasonable domain for this situation.
D:(0, 5]
500
f(x)=2x+1
g(x)=-0.5x-1
Find
f(-5) + g(3)
f(-5) + g(3) = -11.5
500
Jenna works a babysitting job. The ordered pairs represent the amount of money y she earns from working for x hours.
{(2, 15), (3, 22.50), (5, 37.50), (8, 60)}
Determine and interpret the slope of the line that would represent Jenna's earnings from babysitting.
The slope is 7.5, which means Jenna earns $7.50 for every hour she babysits.
500
An archaeologist is comparing the location of a jeweled box she just found to the location of a brick wall. The wall can be represented by the equation y = -5x + 13. The box is located at the point (10, 9).
Write an equation in slope-intercept form representing a line that is perpendicular to the wall and that passes through the location of the box.
y = \frac{1}{5}x + 7