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Introduction to Functions
Algebraic Expressions
Quadratic Functions
Exponential Functions
Trig Ratios and Sinusoidal Functions
100
For f(x)=1/3x, determine f(4).
f(4)=1/12
100
Simplify (2x^4y^2)(4xy^3).
8x^4y^5
100
Find the x-intercepts of f(x)=-3x^2+10x-8
f(x)=(-3x-4)(x+2)
100
Evaluate d(d^5)(d^6).
d^12
100
Determine θ in cotθ=11.4301
θ=5
200
For h(x)=2x-5, determine h(2a).
h(2a)=4a-5
200
Simplify (3x^2-2x+3)-(4x^2-8x+2)+(3x^2+1).
2x^2+6x+2
200
State the vertex f(x)=-4x^2-8x+2.
f(x)=-4(x-4)^2+66
200
Simplify (b^12)/(b^8)+(b^2)^2
2b^4
200
What are the sides of of a 60° triangle in the Unit Circle?
x=1 y=√(3) hyp.=2
300
State the Domain and Range of f(x)=√(3x)-1.
D:{x∈R} R:{y∈R|y≥-1}
300
Expand and Simplify (x+2)(x+3)(x+4).
x^3+9x^2+26x+24
300
Write f(x)=3(x-1)(x+5) in Standard form and Vertex form.
Standard: f(x)=3x^2+12x-15 Vertex: f(x)=3(x+6)^2-123
300
Which is bigger? 5^1, 4^2, 3^3, 2^4, 1^5
5, 16, 27, 16, 1 The biggest is 3^3.
300
True or False? sin32°=cos58°
True
400
Find the inverse of f(x)=3-6x.
y=(x/-6)+(1/2).
400
Factor ax+ay+bx+by.
(a+b)(x+y).
400
Express as a mixed radical in lowest form 3√(12)-4√(48).
-10√(3)
400
True or False? [(1/a)+(1/b)]^-1=a+b
True.
400
Is tanθ=[sinθ+sin^2θ]/[cosθ+(1-cos^2θ)] a trig identity?
Yes.
500
State the Domain and Range of f(x)=(1/2x)-3.
D:{x∈R|x≠0} R:{y∈R|y≠-3}
500
Simplify [(3x+4)^2/4x]÷[(9x^2-4)/2x^2].
(3x^2+4x)/(6x^2-8x)
500
Expand and Simplify [5√(5)+2√(10)][-2√(5)+3√(10)].
55√(2)-10.
500
Simplify [(3x^-2y^2)^2]/[(x^3y^-2)^2]
9/x^2
500
Is 1-cos^2θ=sinθcosθtanθ a trig identity?
Yes