Exponential Functions
Simplifying Polynomials
Multiplying Polynomials
Factoring
Quadratic Functions
Word Problems
100
What type of function is the following.
f(x)=6^x
Exponential Function
100
Write the following polynomials in standard form
5x^3-x^4+8x^2-3x+2
-x^4+5x^3+8x^2-3x+2
100
Find the product
3x^2(-5x^2+x-7)
-15x^4+3x^3-21x^2
100
x^2+5x+6
(x+2)(x+3)
100
what is the vertex of the graph of
f(x)=2(x-2)^2+3
(2,3)
100
Eric launches a toy rocket from a 84ft platform. After 1 second, it reaches a maximum height of 100ft. After 3.5 seconds, it hits the ground.
After how many seconds is the rocket at its highest point?
1 second
200
Describe the transformation of
f(x)=2^x to g(x)=2^x-6
Moved down 6 units
200
Simplify
(x^3-2x^2+5x-7)+(6x^3-3x+10)
7x^3-2x^2+2x+3
200
Find the product
(2x-3)(5x+1)
10x^2-13x-3
200
x^2+x-12
(x+4)(x-3)
200
What is the axis of symmetry for the function
f(x)=-(x+3)^2=7
x=-3
200
Eric launches a toy rocket from a 84ft platform. After 1 second, it reaches a maximum height of 100ft. After 3.5 seconds, it hits the ground.
What is the rocket's initial height?
84 ft
300
Describe the transformation of
f(x)=2^x to g(x)=2^(x+6)
Moved left 6 units
300
Simplify
(2x^3+6x-4)+(3x^3-7x^2-x+5)
5x^3-7x^2+5x+1
300
Find the product
(2x+6)(2x-6)
4x^2-36
300
3x^2+6x-24
3(x+4)(x-2)
300
What is the vertex of the graph of the function
f(x)=2x^2+8x-5
(-2,-13)
300
A company sells widgets. The amount of profit, y made by the company, is related to the selling price of each widget, x , by the given equation. Using this equation, find the maximum profit the company can make to the nearest dollar.
f(x) = − 16x^2 + 127x + 117
$369
400
Write the exponential function from the table
f(x)=3(2)^x
400
Simplify
(-6x^2+5x-2)-(4x^2-7x-9)
-10x^2+12x+7
400
Find the product
(3x-9)^2
9x^2-54x+81
400
3x^2-2x-5
(3x-5)(x+1)
400
Given
f(x)=(x+2)^2 what is the equation translated 5 units to the right of f(x)?
g(x)=(x-3)^2
400
You buy an iPhone for $999. If the value depreciates 30% every year. What will the phone be worth in 3 years?
hint use:
a(1+-r)^x
$342.66
500
Write the exponential function from the table
f(x)=3(1/3)^x
500
Simplify
(8x^3-4x^2+2x-7)-(3x^2-x+5)
8x^3-7x^2+3x-12
500
Find the product
(5x-4)^2
25x^2-40x+16
500
36x^2-9
(6x-3)(6x+3)
500
Convert the following equation into standard form.
f(x)=3(x-4)^2-7
3x^2-24x+41
500
You deposit $1600 in a bank account. Find the balance after 3 years if the account pays 4% annual interest.
hint use:
a(1+-r)^x
$1799.78