Consider the function $f\left(x\right)=-\frac{2}{x^2}$`f`(`x`)=−2`x`2.

a

How can the graph of $f\left(x\right)$`f`(`x`) be obtained from the graph of $y=\frac{1}{x^2}$`y`=1`x`2?

Vertical stretch by a factor of $2$2, reflection about the $y$`y`-axis.

A

Horizontal stretch by a factor of $2$2, reflection about the $y$`y`-axis.

B

Horizontal stretch by a factor of $2$2, reflection about the $x$`x`-axis.

C

Vertical stretch by a factor of $2$2, reflection about the $x$`x`-axis.

D

Vertical stretch by a factor of $2$2, reflection about the $y$`y`-axis.

A

Horizontal stretch by a factor of $2$2, reflection about the $y$`y`-axis.

B

Horizontal stretch by a factor of $2$2, reflection about the $x$`x`-axis.

C

Vertical stretch by a factor of $2$2, reflection about the $x$`x`-axis.

D

b

Which of these is the graph of $f\left(x\right)$`f`(`x`)?

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A

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B

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C

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D

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A

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B

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C

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D

c

What is the domain of $f\left(x\right)$`f`(`x`)? Give your answer in interval notation.

d

What is the range of $f\left(x\right)$`f`(`x`)? Give your answer in interval notation.

Easy

Approx 2 minutes

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