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QuizMultiple Choice

Exponential and Logarithmic Functions — Test

Question 1 • Algebraic Reasoning

Which statement describes the relationship between the function and its inverse?

Answer
A
The x -intercept of f inverse of x is the same as the y -intercept of f of x .
B
The x -intercept of f inverse of x is the opposite of the y -intercept of f of x .
C
The slope of f inverse of x is the same as the slope of f of x .
D
The slope of f inverse of x is the opposite of the slope of f of x .

Explanation

The inverse swaps the x- and y-coordinates of points on the original function. The y-intercept of f(x) is the point (0, b), so the inverse contains the point (b, 0), which is its x-intercept. Therefore, the x-intercept of f inverse of x is the same as the y-intercept of f(x).

AI-written and checked against the verified answer.

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