Functions
Solving Equations
Average Rate of Change
Writing Equations
Square Roots
100
Given f(x)=-x-3 , find f(-2)
f(-2)=-1
100
-2/3=x-4/5
x=2/15
100
What is the average rate of change between x=2 and x=4?
-5
100
Write the equation of the line
y=3/2x-8
100
sqrt81
9
200
Find
f(x)=0, x=
x=0 and 5
200
-3+2(x+4)=25
x=10
200
A function is shown in the table below. On which interval of x is the average rate of change of the function the greatest?
x=0 to x=3 or x=27 to x=40
x=0 to x=3
200
Write the equation of the line given the information:
m=2/3 goes through (9,1)
y=2/3x-5
200
sqrt324
18
300
On what interval(s) is the function increasing?
-3<x<3 and 5<x<9
300
4-(x+2)=2x+3(x-8)
x=13/3
300
The table below shows the height of an object, h(t) , in feet as a function of time, t , in seconds.
What are the units of measurement for the average rate of change of h(t) ?
Feet per second
300
Write the equation of the line given the information:
(5,-2) and (2,10)
y=-4x+18
300
sqrt4+sqrt16
6
400
What is the domain and range of the function?
Domain:
-11<x<11
Range:
-9<=y<4
400
(x+10)/(x-7)=8/9
x=-146
400
The table below shows the height of an object, h(t) , in feet as a function of time, t , in seconds.
Find and interpret the average rate of change of h(t) over the interval 0 to 5 seconds?
5 feet per second
The object is ascending at a rate of 5 feet per second.
400
Isaac is a salesperson who sells computers at an electronics store. He makes a base pay of $75 each day and then is paid a $1.25 commission for every computer sale he makes. Write an equation for P(x) ,x, representing Isaac's total pay on a day on which he sells x computers.
P(x)=1.25x+75
400
sqrt(196/225)
14/15
500
A van rental company rents out passenger vans that hold 10, 16 and 20 people. The function C(x) = 200+7x represents the cost C, in dollars, of renting an x-passenger van for a day.
a. What do the domain AND range represent?
b. Evaluate AND interpret C(16)
Domain: Number of passengers
Range: Total cost of renting the van
C(16) = 312
The total cost of renting a 16 passenger van is $312.
500
2/5(15-10x)-3/8(24-16x)=4/3(3x-21)
x=25/2
500
Given the function f(x)=3x-7 , find the average rate of change between x=1 and x=5
3
500
Arturo borrowed some money from his friend in order to help buy a new video game system. Arturo agreed to pay back his friend $10 per week, and after 3 weeks, Arturo still owed his friend $130. Write an equation for L(t) ,t, representing the amount Arturo owes his friend after t weeks.
L(t)=-10t+160
500
(sqrt(36+64))/(sqrt64-sqrt36)
5