Linear Functions
Linear Models
Functions
D&R/Key features of graphs
Linear, Exp., Quad.
100
Find the equation of this graph
y=3/4x - 4
100
w=-4m+260
100
Identify the following sets as a function or not a function and explain why.
1.
Not a function because the input value of -2 has two different output values.
100
Identify the domain and range of the following:
{(2,1) (3,6) (1,2) (5,4)}
D: {1,2,3,5}
R: {1,2,4,6}
100
Identify the graphs as linear, exponential, quadratic, or neither
Quadratic
Neither
Exponential
200
Find the slope of the line that passes through the two points
(3, -20) (5,8)
m = -28/-2 = 14
200
A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write and graph an equation representing the cost, y, of renting a canoe for x hours.
y=30x+20
200
Determine whether or not each graph represents a function.
F, NF, NF
200
Identify the domain and range of the following graph.
D: [-3,4]
R: [-2,4]
200
Identify the following as linear, exponential, quadratic, or neither
7. exp.
8. linear
10. quadratic
11. exp.
300
Find the equation of the line that passes through the two points
(3,-20) (5,8)
y=14x-62
300
A puppy named Chance weighs 5 pounds. If he continues to gain 3 pounds every month, how much will he weigh after 12 months?
41 pounds
300
Evaluate the following expression given the functions below.
f(x)=2x+7 g(x)= x2 -1
f(10)= ?
g(10) = ?
f(10)= 27
g(10) = 99
300
Identify the domain and range of the graph
D: All real numbers
R: All real numbers
300
Identify the following as linear, exponential, quadratic, or neither. Explain why
Quadratic. The y values have a second common difference of 2.
400
Write the equation of the line that passes through the two points.
(6, -9) (10, -9)
y=-9
400
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make for babysitting for 8 hours?
y=5x+3
$43
400
Evaluate the following expression given the functions below.
f(x)=2x+7 g(x)= x2 -1
find x if f(x)=2
x= -2.5
400
Identify the domain and range of the following graph
D: All real numbers
R: All real numbers
400
Identify the following as linear, exponential, quadratic, or neither. State your reasoning
Neither, does not have a common difference, second common difference, or common ratio.
500
Write the equation of the line.
y=-2
500
A doctor measured a patient’s resting pulse rate at 80 beats per minute. Write an equation to show the relationship between time and the number of times the patient’s heart beats. Use it to estimate how many times the patient’s heart will beat in 18 minutes.
y=80x
1440 Beats
500
Evaluate the following expression given the functions below.
f(x)=2x+7 g(x)= x2 -1
find x if g(x)=35
x=6
500
Identify the domain and range of the graph
D: [0,4]
R: [0, 6]
500
Identify the following as linear, exponential, quadratic, or neither. Explain why.
Exponential. There is a common ratio of 3