Linear Functions
Quadratic Functions
Polynomial Functions
Exponential Functions
Function Notation
100
Write the equation of a line with a slope of 4 and goes through the point (3, 5)
Point-Slope Form
y-5=4(x-3)
100
Write the following function in general form:
f(x)=(x+3)(x-5)
x^2-2x-15
100
Write the following function in general form:
(x+1)(x-1)(x+3)
f(x)=x^3+3x^2-x-3
100
Rewrite the following expression as a logarithm:
2^(x+1)=5
log_2(5)=x+1
100
Use the table to find f(5)
f(5) = 10
200
Write the equation of a line with a slope of -2 and goes through the point (2, -1)
Point-Slope Form
y+1=-2(x-2)
200
Write the following function in general form:
f(x)=(2x+3)(x+6)
f(x)=2x^2+15x+18
200
Write the following function in general form:
f(x)=(x+2)(x+1)(2x+1)
f(x)=2x^3+7x^2+7x+2
200
Write the following logarithm in exponential form:
log_3(x-2)=2
3^2=x-2
200
Use the table to find
(g ∘ f)(-1)
(g ∘ f)(-1) = 8
300
Write the equation of a line that goes through (2,5) and (3, 8)
Point-Slope Form
y-5=3(x-2) OR
y-8=3(x-3)
300
Write the following function in factored form:
f(x)=x^2+2x-8
f(x)=(x-2)(x+4)
300
Write the following function in factored form:
f(x)=x^3+3x^2-4x-12
f(x)=(x+2)(x-2)(x+3)
300
Solve for x.
5^(2x)=125^(x+1)
x = -3
300
Use the table to find
g-1(5)
g-1(5) = -3
400
Write the equation of a line that goes through (-1,3) and (3, -5)
Point-Slope Form
y-3=-2(x+1)
OR
y+5=-2(x-3)
400
Write the following function in factored form:
f(x)=2x^2-7x-15
f(x)=(2x+3)(x-5)
400
Write the following function in factored form:
f(x)=2x^3+9x^2+13x+6
f(x)=(x+2)(x+1)(2x+3)
400
Simplify:
log_3(x/4)+log_3(12)-log_3(1/2)
log_3(6x)
400
Use the table to find
(f ∘ g)(-3)
(f ∘ g)(-3) = 10
500
Write the equation of a line that is perpendicular to the line that goes through (-1,3) and (3, -5) at point (-1,3)
Point-Slope Form
y-3=1/2(x+1)
500
Find the solutions for the following function:
f(x)=2(x+1)^2-2
x = 0 and x = -2
500
Write the following function in factored form:
f(x)=3x^4+7x^3-13x^2-23x-6
f(x)=(x+1)(x-2)(x+3)(3x+1)
500
Solve for x.
3^(x+1)=5^(x^2+3x+2)
x=log(3)/log(5)-2
500
Use the table to
find x given (g ∘ f)(x) = 5
x = 8