functions inverted part deux: the final frontier
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| f(x)x^3+8 is a one to one function. what is the value of f(3)? | 35, this can be solved by using the value 3 for x. Keep this answer in mind for the next question.
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| f(x)x^3+8 is a one to one function (and was also used in the last question.) Instead of finding f(3), however, find f^-1(35). | The answer is 3. Since 35 is the answer for f(3) using this equation, the inverse of f(35) will be 3. Switcheroo!
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| A graph contains the points (-1,1),(0,0),and (1,1). Its shape is an upward V. Is this a one to one function? | No, it is not, because a horizontal line can be drawn from a multitude of points on the y-axis.
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| What is the inverse of 2x+1? If you were to graph both the original and inverse equations on one plane what would it look like? | The inverse equation is (x-1)/2. The graph will look like a tilted 'x', with one point being shared by both equations.
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| What is the inverse of (x+5)^3 | (x-5)^1/3. All signs are switched and exponents become 1/x as opposed to x.
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Created by:
seanhogan
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