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 graph
D: All real numbers.
R: All real numbers
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
Alijah sells cups of warm apple cider for $3 each and caramel apples for $2 each. Alijah made $300 total selling cider and apples in just one day. If he sold 54 cups of apple cider, how many caramel apples did he sell?
69 Caramel Apples
200
Determine whether or not each graph represents a function.
F, NF, NF
200
Identify the domain, range, and y intercept(s)
Domain and range are both all real numbers
Y intercept: (0,-5)
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
The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Write a linear equation, slope-intercept form, to find the total cost C for L lessons.
y=10x+12
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
Domain: All real numbers
Range: y is less than or equal to 4. (-infinity,4)
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
Randy owns a computer store. In 1990, he sold 150 monitors. In 2000, he sold 900 monitors. Write an equation that can predict how many computers he will sell in the future.
y=75x+150
400
Evaluate the following expression given the functions below.
f(x)=2x+7 g(x)= x2 -1
find x if f(x)=2
find x if g(x)=35
x= -2.5
x= 6
400
Identify the domain, range, max, min, x intercept, and y intercept of the graph.
D: [1, infinity) or x is greater than or equal to 1
R: All real numbers
Max: None
Min: None
X intercept: (1,0)
Y intercept: None
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 an equation of a line that would have an undefined slope.
x=n
500
M=.125t+23.2
M(35)=27.575
500
Evaluate the following expression given the functions below.
f(x)=2x+7 g(x)= x2 -1
f(g(x))=?
f(g(x))=2(x2-1)+7
500
Identify the domain, range, max, min, x and y intercepts, axis of symmetry, and the end behavior of the graph
D: All real numbers
R: y is greater than or equal to 0. [0,infinity)
Max: None
Min: 0
Intercepts (1,0) and (0,1)
axis of symmetry at x=1.
End behavior: As x goes to negative infinity, y goes to positive infinity. As x goes to positive infinity, y goes to positive infinity.
500
Identify the following as linear, exponential, quadratic, or neither. Explain why.
Exponential. There is a common ratio of 3