Answers OK-Algebra II AFunction Inverses

Function Inverses Answers

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Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?

The graph of h(x) passes the vertical line test.

The graph of the inverse of h(x) is a vertical line.

The graph of the inverse of h(x) passes the horizontal line test.

The graph of h(x) passes the horizontal line test.

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Which function has an inverse that is also a function?

{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

{(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}

{(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}

{(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}

Which function has an inverse that is a function?

b(x) = x2 + 3

d(x) = –9

m(x) = –7x

p(x) = |x|

Which function is the inverse of ?

f Superscript negative 1 Baseline (x) = one-half x minus three-halves

mc013-3.jpg

mc013-4.jpg

mc013-5.jpg

If and , which expression could be used to verify that is the inverse of ?

one-third (one-third x)

Option

Which function has an inverse that is also a function?

{(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)}

{(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)}

{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}

{(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}

Which graph shows a function whose inverse is also a function?

On a coordinate plane, 2 curves are shown. f (x) is a curve that starts at (0, 0) and opens down and to the right in quadrant 1. The curve goes through (4, 2). The inverse of f (x) starts at (0, 0) and curves up sharply and opens to the left in quadrant 1. The curve goes through (2, 4).

On a coordinate plane, 2 parabolas are shown. f (x) opens up and goes through (negative 2, 5), has a vertex at (0, negative 2), and goes through (2, 5). The inverse of f (x) opens right and goes through (5, 2), has a vertex at (negative 2, 0), and goes through (5, negative 2).

On a coordinate plane, two v-shaped graphs are shown. f (x) opens down and goes through (0, negative 3), has a vertex at (1, 3), and goes through (2, negative 3). The inverse of f (x) opens to the left and goes through (negative 3, 2), has a vertex at (3, 1), and goes through (negative 3, 0).

On a coordinate plane, two curved graphs are shown. f (x) sharply increases from (negative 1, negative 4) to (0, 2) and then changes directions and curves down to (1, 1). At (1, 1) the curve changes directions and curves sharply upwards. The inverse of f (x) goes through (negative 4, negative 1) and gradually curves up to (2, 0). At (2, 0) the curve changes directions sharply and goes toward (1, 1). At (1, 1), the curve again sharply changes directions and goes toward (3, 1).