Trigonometry Inverse Functions Exponential and Log Functions Radical Functions Random
100
cosine
In the unit circle, the x-value of your coordinate always represents which trig ratio?
100
(7,3), (8,-2), (-4,4)
Identify the inverse of the ordered pairs:

(3,7), (-2,8), (4,-4)
100
log8(78) = x
Convert to logarithmic form:

8^x = 78
100
f(x) = √x
What is the parent function of any even-root function?
100
ln
In your calculator, what button represents the natural logarithm?
200
3π/2
What is a coterminal angle of -5π/2 that is between 0π and 2π? Express your answer in radians.
200
f-1(x) = (x-5)/4
What is the inverse of the function f(x) = 4x+5? Be sure to use the correct notation.
200
x = 1
Solve for x:

3^(x+2) = 27
200
Subtract 1
Divide by 3
Square
List the order of steps to solve for the variable:

f(x) = 3√(x) + 1
200
10º
What is the reference angle of -170º?
300
Amplitude: 4
Midline: 9
Period: 6
Given the function f(x) = -4sin(π/3x)+9, find the amplitude, midline, and period.
300
x-int: (9,0)
y-int: (0,-2)
If the x and y-intercepts of a function are (-2,0) and (0,9), what are the x and y-intercepts of the inverse of that function?
300
y = -12
What is the equation of the asymptote of the function:

f(x) = 4^(x+13) - 12
300
(4,-9)
What are the coordinates of the origin of the function below?

f(x) = -7√(4-x) - 9
300
π/B
What is the formula to find the period of a tangent function?
400
1/2
What is the sine of 5π/6 on the unit circle? Hint: convert to degrees first.
400
f-1(x) = (2/x) - 7
What is the inverse of the function f(x) = 2/(x+7)? Be sure to use the correct notation.
400
x = 1.32
Solve for x using a logarithm (round answer to 2 decimal points):

2(7^x) = 26
400
x = 2, 4
Solve for the variable:

x-2 = √(2x-4)
400
x = ±π
Identify the equation of the asymptotes closest to 0 of the function:

f(x) = 8tan(1/2x) - 6
500
sin(θ) = (-5√34)/34
Let (3,-5) be a point on the terminal side of angle θ in standard position. Evaluate sin(θ). Express your answer in rationalized fraction form.
500
Domain: [7,∞)
Range: [0,∞)
What are the domain and range of the inverse of the function? Be sure to use the correct notation.

f(x) = (x^2)+7
500
(-3,∞)
What is the domain of the function below?

f(x) = ln(x+3) + 1
500
x = 5
What are the extraneous solution(s), if any?

√(x-1) = x-7
500
(-∞,-5)
What is the range of the function f(x) = -4^(x-6) - 5? Be sure to use the correct notation.






Alg 2 Semester 2 Final Review

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