Intro to Polynomial Functions
Advanced Polynomial and Rational Functions
Exponential and Logarithmic Functions
Trignometric Functions
Characteristics of Functions
100

What is the degree of the polynomial 4x^3-2x+7

What is 3?

100
Simplify the expression x^3-8/x-2

what is x^2+2x+4

100

What is the Value of log10 (1000)

What is 3

100

What is the value of sin 30deg

What is 1/2

100

What does it mean for a function to be one to one?

What is each output is exactly the same as the other. (Passes horizontal line test)

200

Identify the leading coeffcient of the polynomial 5x^4=3x^2+x-9

What is 5

200

What are the vertical asymptotes of R(x)=2x/x^2-9

What is x=3 and x=-3
200
Simplify e^3in2

What is 8

200

Simplify tan45 deg

What is 1
200

Find the range of the function f(x)=x^2+3

What is [3,inf)

300

Determine whether the polynomial x^5-4x^3+2 is even, odd, or neither

What is Neither

300

Factor f(x)=x^3-6x^2+11x-6 completely

What is (x-1)(x-2)(x-3)

300

Solve for x 2^x+1=16

What is x=3

300

Find the exact value of cos (pi/3)

What is 1/2


300

Determine if the function f(x)=|x| is even, odd, or neither

What is even (f(-x)=f(x))

400

Find all real zeros of the polynomial f(x)=x^3-4x^2-7x+10 given that x=2 is a root

x=2,1+sqrt6,1-sqrt 6

400

Find the horizontal asymptote of Q(x)=5x^3-2x+1/3x^3+4x^2-x

What is y=5/3

400

Solve log3(x^2-4)=2

x=+sqrt13
400

Solve for θ in degrees 2sinθ-1=0 where 0deg≤ θ < 360deg

What is sinθ=1/2 = θ=30deg, 150deg

400

Find the intervals of increase and decrease for f(x)=-x^3+3x^2+1

What is increase on (-inf,2) and decrease on (2,inf)

500

Describe the end behavior of the polynomial P(x)=-3x^6+5x^3-2

What is degree is even and leading coeffcient is negative as x = +inf [ (x) = -inf the graph falls to negative infinity on both ends.

500

Determine the domaian of S(x)=sqrtx^2-4x-5/x-7

What is (-inf,-1]U[5,7)U(7,inf)
500

Express logba in terms of natural logarithms in A and in B

What is logba=inA/inB

500

Verify the identity 1+tan^2x=sec^2x

What is sec^2x-tan^2x=1

1+tan^2
x=sec^2x
identity is true.

500

Determine if the function f(x)=2x+1/x-1 is continuous at x=1 explain

What is no f(x) is not continuous at x=1 because the denominator is zero causing a verrtical asymptote.

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