Exponential and Logarithmic Inverses
Authored by Anthony Clark
Mathematics
11th Grade
CCSS covered
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Evelyn, Michael, and Benjamin are on a treasure hunt. They found a cryptic note that says 'To find the treasure, solve this: What is the inverse of f(x)=5x+3?'. Can you help them solve it?
f-1(x)=log3(x-5)
f-1(x)=log5(x)-3
f-1(x)=log5(x-3)
f-1(x)=log5(x+3)
Tags
CCSS.HSF-BF.B.4A
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Emma, Priya, and Benjamin are on a treasure hunt. They found a mysterious note with the function f(x)=5(x+2) written on it. They believe it's a clue and need to find the inverse of this function to proceed. Can you help them?
f-1(x)=log5(x-2)
f-1(x)=log5(x)-2
f-1(x)=log5(x)+2
f-1(x)=log5(x+2)
Tags
CCSS.HSF-BF.B.4A
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Hannah, Jackson, and Aiden are on a treasure hunt. They come across a magical door that only opens when they solve a riddle. The riddle is: 'What is the inverse of an exponential function?'
A spell that transforms everything into a polynomial function
A spell that transforms everything into a logarithmic function
A spell that transforms everything into a linear function
A spell that transforms everything into a quadratic function
Tags
CCSS.HSF-BF.B.4A
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Elijah, Aria, and Michael are playing a game of 'Math Wizards'. Elijah casts a spell that is represented by the exponential function f(x) = 2x. If Aria wants to counter the spell, she needs to use the inverse of Elijah's spell. What would be the inverse function that Aria should use?
f(-1)(x) = x2
f(-1)(x) = log2(x)
f(-1)(x) = 2/x
f(-1)(x) = ln(x)
Tags
CCSS.HSF-BF.B.4A
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The exponential function f(x)=2x and the logarithmic function g(x)=log2(x) are inverses. You know that because their graphs are reflected over what line?
the x-axis
the y-axis
y=x
y=-x
Tags
CCSS.HSF-BF.B.4B
6.
MULTIPLE CHOICE QUESTION
1 min • 12 pts
Logarithmic functions are the inverse of...
Linear Functions
Exponential Functions
Quadratic Functions
Polynomial Functions
Tags
CCSS.HSF-BF.B.4A
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which equation is the inverse of the equation above?
Tags
CCSS.HSF-BF.B.4A
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