Difference Quotient
Piecewise Function
Average Rate of Change
Linear Functions
Parallel & Perpendicular
100
Given the function
f(x)=2x-1
express the value of Difference Quotient at h=0 in simplest form.
2
100
Evaluate the function graphically.
Find
f(-3)
3
100
The function
y=f(x)
is graphed below. 
What is the average rate of change of the function
f(x)
on the interval
−3≤x≤2?
2
100
(-6,-6),(8,-10)
What is the slope?
The slope is
m=-2/7
100
Write the equation of a line passing through the point (-3, 5) and perpendicular to
y=-2
x=-3
200
Given the function,
f(x)=-4+5x^2
express the value of Difference Quotient at h=0 in simplest form.
10x
200
Evaluate the function graphically.
Find
f(-1)
1
200
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval
40<=x<=55
-2/5
200
Write an equation in point-slope form (2,-3); m=5
y + 3 = 5(x - 2)
200
Name the x and y intercept and slope.
2x - y = 4
x-intercept of (2, 0) and y-intercept of (0, -4)
m = 2
300
Given the function,
f(x)=3x^2-x
express the value of Difference Quotient in simplest form at h=0
6x-1
300
Evaluate Piecewise Functions
Find
f(-6)
1
300
Given the function, determine the average rate of change of the function over the interval
h(x)=−x^2+8x+20
0≤x≤5
3
300
What is and equation for the points (5, 8) and (3, 4)?
y = 2x - 2 or y - 8 = 2(x - 5)
300
Write an equation that is parallel to the line shown using the point: (-4, 6)
-3x+4y=8
y =3/4x +9
400
Given the function,
f(x)=5x^2+4x
express the value of Difference Quotient in simplest form.
10x+5h+4
400
Evaluate Piecewise Functions
{(-1/2x+5; x<-4),(-(x-6)^2+3; x>3):}
f(-2)
undefined
400
The demand for a product is
p(x)=0.2x^2+1.13x+5.2
where x is the number of items. Find the Average rate of change from x=1500 to x=2000.
701.13
400
Write in standard form.
y= -4x + 1/3
12x+3y=1
400
Find the line Perpendicular to
3y-2x=30
and contains the point (-4, -5)
y = -3/2x + 1