9
QuizMultiple Choice

Inverse of a Function — Quiz

Question 9 • Precalculus

The table shows several points for function f of x x negative 4 negative 2 0 2 4 6 8 10 f of x 19 15 11 negative 6 negative 7 negative 8 negative 10 negative 14 Which statement correctly identifies a point on the graph of f inverse of x ?

Answer
A
The point open paren 4 comma negative 7 close paren is on the graph of f of x , so the point open paren 7 comma negative 4 close paren will be on the graph of f inverse of x .
B
The point open paren 10 comma negative 14 close paren is on the graph of f of x , so the point open paren negative 14 comma 10 close paren will be on the graph of f inverse of x .
C
The point open paren negative 2 comma 15 close paren is on the graph of f of x , so the point open paren 2 comma negative 15 close paren will be on the graph of f inverse of x .
D
The point open paren negative 4 comma 19 close paren is on the graph of f of x , so the point open paren negative 4 comma negative 19 close paren will be on the graph of f inverse of x .

Explanation

For an inverse function, each point’s coordinates switch places: (x, y) becomes (y, x). The table shows that f(10) = −14, so (10, −14) is on the graph of f. Its coordinates switch to (−14, 10), making choice B correct.

AI-written and checked against the verified answer.

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