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7.02 Radical functions

Adaptive
Worksheet

Interactive practice questions

Consider the function $y=\sqrt{x}$y=x.

a

Can $y$y ever be negative?

Yes

A

No

B
b

As $x$x gets larger and larger, what value does $y$y approach?

$0$0

A

$1$1

B

$\infty$

C
c

Which of the following is the graph of $y=\sqrt{x}$y=x?

Loading Graph...

A

Loading Graph...

B

Loading Graph...

C

Loading Graph...

D
d

Consider the function $y=5\sqrt{x}$y=5x. How does this function differ from $y=\sqrt{x}$y=x?

They have different $x$x-intercepts.

A

$y=5\sqrt{x}$y=5x increases more rapidly than $y=\sqrt{x}$y=x.

B

They have different domains.

C

They have different ranges.

D

They have different $y$y-intercepts.

E
Medium
1min

Consider the given graph of $y=\sqrt{x}$y=x.

How would you describe the rate of increase of the function?

Medium
< 1min

Consider the given graph of the function $y=\sqrt{x}$y=x.

Which of the following is true?

Medium
< 1min

Consider the function $y=-\sqrt{x}$y=x.

Medium
2min
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Outcomes

F.IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

F.IF.C.7.B

Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

F.BF.B.3

Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

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