4. Radical Functions & Rational Exponents

Consider the function $y=\sqrt[3]{x}$`y`=^{3}√`x`.

a

Complete the table of values.

Round any values to two decimal places if necessary.

$x$x |
$-100$−100 | $-10$−10 | $-8$−8 | $-3$−3 | $-1$−1 | $0$0 | $1$1 | $3$3 | $8$8 | $10$10 | $100$100 |
---|---|---|---|---|---|---|---|---|---|---|---|

$y$y |
$\editable{}$ | $-2.15$−2.15 | $\editable{}$ | $\editable{}$ | $-1$−1 | $0$0 | $\editable{}$ | $\editable{}$ | $2$2 | $2.15$2.15 | $4.64$4.64 |

b

Which of the following is the graph of $y=\sqrt[3]{x}$`y`=^{3}√`x`?

Loading Graph...

A

Loading Graph...

B

Loading Graph...

C

Loading Graph...

D

c

Is $y=\sqrt[3]{x}$`y`=^{3}√`x` an increasing function or a decreasing function?

Increasing

A

Decreasing

B

Easy

Approx 4 minutes

Consider the function $y=\sqrt[3]{x}$`y`=^{3}√`x`.

Consider the function $y=\sqrt[3]{x}$`y`=^{3}√`x`.

Consider the given graph of $y=\sqrt[3]{x}$`y`=^{3}√`x`.

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