Equations,Functions and Graphs
Polynomial, Rational, Exponential and Logarithmic Functions
Trigonometric Functions and Analytical Trigonometry
State the VA or Hole (specify which one you have)
Equivalent Angles
100
Solve (2x/3)=(x/6)+1
What is 2?
100
Find the minimum or maximum value and determine where it occurs: f(x)=-3x^2+6x-13
What is the maximum is -10 at x=1?
100
A central angle,x, in a circle of radius 6 inches intercepts an arc of length 15 inches. What is the radian measure of x?
What is x=2.5?
100

Given the function state the x values of the holes and vertical asymptotes:

(x2-x) / (x2-1)

VA: x = -1

Hole @ x = 1

100

Given theta = π/3 radians, state the angle in degrees

theta = 60º

200
For a long distance call, a telephone company charges $0.68 for the first minute, $0.13 for each additional minute and a $2.03 service charge. How long did the person talk if the cost of the call was $2.97
What is 3 minutes?
200
Find all zeroes of f(x)=x^3+3x^2-x-3
What is x=3,1,-1?
200
Find a reference angle for a 580 degree angle.
What is 40 degrees?
200

Given the function state the x values of the holes and vertical asymptotes:

(x2 +x -2) / (x3 -2x2 -3x)

VA: x = 0, 3, -1

200

Given theta = 270º, state an equivalent theta in radians

theta = 3π/2

300
Solve the radical equation: SqRt(x-4)+SqRt(x+1)=5
What is {8}?
300
Divide x^2+10x+21 by x+3
What is x+7?
300
The sine of 45 degrees.
What is 1/sqrt(2)?
300

Given the function state the x values of the holes and vertical asymptotes:

(x3 -3x2 -x +3) / (x2 +3x -4)

Hole @ x= 1

VA: x = -4

300

Given theta =-670º, given an equivalent theta in radians between 0 and 2π

theta = 50º = 5π/18 radians

400
Let f(x)=x^2-x-4 and g(x)=2x-6. Find (f o g)(x)
What is 4x^2-26x+38?
400
Write the equation in its equivalent logarithmic form:e^y=9
What is y=log(e)9?
400
Verify the identity: secxcotx=cscx
What is 1/cosx * cosx/sinx=1/sinx=cscx?
400

Given the function state the x values of the holes and vertical asymptotes:

(x4 -13x2 +36) / (x2 -x -6)

Hole @ x = -2, 3

400

Given theta = -8π / 3, state an equivalent theta between 360º and 720º

theta = -480º = 600º

500
Write the general form of the equation of the line passing through (-7,-10) and parallel to the line whose equation is 4x+2y-5=0
What is 2x+y+24=0?
500
Use the fact that after 5715 years a given amount of carbon-14 will have decayed to half the original amount to find the exponential decay model for carbon-14
What is k=-0.000121?
500
Find the exact value of the expression: cos100cos80=sin100sin80
What is cos=-1?
500

Given the function state the x values of the holes and vertical asymptotes:

(x3 - 5x2 -2x +24) / (x3 +3x2 +2x)

VA: x = -1, 0

Hole @ x = -2

500

Given theta = -4π/3, give a unique theta (between 0 and 2π) that has an equivalent sine value.

theta = π/3

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