
Inverse Functions and Logarithmic Properties

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the horizontal line test used for?
To determine if a function is one-to-one
To find the range of a function
To determine if a function is continuous
To calculate the slope of a function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the function f(x) = x^3 considered one-to-one?
Because no two different x values have the same cube
Because it is a constant function
Because it is a linear function
Because it is a quadratic function
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse function of f(x) = x^3 + 2?
f^(-1)(x) = x^(1/3) + 2
f^(-1)(x) = x^3 - 2
f^(-1)(x) = (x - 2)^3
f^(-1)(x) = (x - 2)^(1/3)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the graph of an inverse function obtained?
By reflecting the graph over the line y = x
By reflecting the graph over the x-axis
By translating the graph upwards
By rotating the graph 90 degrees
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse function of the exponential function f(x) = b^x?
f^(-1)(x) = log_b(x)
f^(-1)(x) = b^(-x)
f^(-1)(x) = x^b
f^(-1)(x) = ln(x)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which law of logarithms allows you to express log_b(a^c) as c*log_b(a)?
Change of base formula
Power law
Quotient law
Product law
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the natural logarithm of e^5?
5
e^5
ln(5)
0
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the range of the inverse sine function?
0 to 2pi
-pi to pi
-pi/2 to pi/2
0 to pi
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