Factoring & Zeros
Rational Expressions
& Equations
& Equations
Parent Functions
Graphs of
Rational Functions
Rational Functions
Domain, Range, Extrema, and Increasing/Decreasing
Inverse &
Composite Functions
Composite Functions
Trigonometry
100
List all real zeros of
f(x)=4x^2+16x+16
x=-2
100
State the excluded values of f(x)=frac{-x^2+16x-63}{x^2-2x-35}
xne-5,7
100
What is the parent function of f(x)=sqrtx+4
Square Root
100
Identify the vertical asymptotes.
x=-1,3
100
State the relative minimum as an order pair.
(1,-4)
100
If
f(x)=2x-1
and
g(x)=3x,
what is
f(g(-3))?
f(g(-3))=-19
100
Simplify
secxtan^2x+secx
sec^3x
200
Factor
14x^2+7x-21
7(2x+3)(x-1)
200
Simplify frac{x^2-6x-27}{x^3-12x+27}
(x+3)/(x-3)
200
What is the parent function of
f(x)=3
Constant
200
Identify the horizontal asymptote(s) in
f(x)=frac{x^3-x^2-6x}{-3x^2-3x+18}
None
200
State the absolute maximum as an ordered pair.
(4,2)
200
If
f(x)=2x+5
and
g(x)=x+4
what is
f(g(x))?
f(g(x))=2x+13
200
Simplify
(sin^4x-cos^4x)/(sin^2x-cos^2x)
1
300
List all real zeros of
f(x)=6x^2-5x-4
x=-1/2,4/3
300
Simplify
(5x)/(3x)-(x+3)/(3x-12)
(4x-23)/(3(x-4))
300
What is the parent function?
Absolute Value
300
Identify all vertical asymptotes in
f(x)=1/(3x^2+3x-18)
x=-3,2
300
State the interval of increase.
(-∞,0)∪(2,∞)
300
What is the inverse of
f(x)=(-16+n)/4?
f^(-1)(x)=4x+16
300
Solve the triangle.
mangleC=53.8°, mangle B=38.2°
400
One zero of 8x^3-15x^2-26x-3 is (3,0). List all real zeros.
x=-1,-1/8,3
400
Simplify frac{6}{7x^2-18x-9}divfrac{3r}{21r^2+9r}
6/(r-3)
400
What is the parent function?
Quadratic
400
Identify all discontinuity in
f(x)=frac{x^2+x-6}{-4x^2-16x-12}
Vertical asymptote at x=-1
Hole at x=-3
Horizontal asymptote at y=-1/4
400
State the domain of the graph below in interval notation.
(-∞,-2)∪(-2,2)∪(2,∞)
400
What is the inverse of
f(x)=2x^3+3?
f^(-1)(x)=root(3)((x-3)/2
400
Simplify
(sinx+cosx)^2-sinpi/2
2sinxcosx