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4.03 Graphing 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
Easy
1min

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

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

Easy
< 1min

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

Which of the following is true?

Easy
< 1min

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

Easy
2min
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Outcomes

M2.N.Q.A.1

Use units as a way to understand real-world problems.*

M2.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.

M2.A.CED.A.2

Create equations in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.*

M2.F.IF.C.6

Graph functions expressed algebraically and show key features of the graph by hand and using technology.*

M2.F.IF.C.8

Compare properties of functions represented algebraically, graphically, numerically in tables, or by verbal descriptions.*

M2.F.IF.C.8.A

Compare properties of two different functions. Functions may be of different types and/or represented in different ways.

M2.F.IF.C.8.B

Compare properties of the same function on two different intervals or represented in two different ways.

M2.MP1

Make sense of problems and persevere in solving them.

M2.MP2

Reason abstractly and quantitatively.

M2.MP3

Construct viable arguments and critique the reasoning of others.

M2.MP4

Model with mathematics.

M2.MP5

Use appropriate tools strategically.

M2.MP6

Attend to precision.

M2.MP7

Look for and make use of structure.

M2.MP8

Look for and express regularity in repeated reasoning.

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