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5.04 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

MA.912.AR.7.2

Given a table, equation or written description of a square root or cube root function, graph that function and determine its key features.

MA.912.AR.7.3

Solve and graph mathematical and real-world problems that are modeled with square root or cube root functions. Interpret key features and determine constraints in terms of the context.

MA.912.F.1.1

Given an equation or graph that defines a function, determine the function type. Given an input-output table, determine a function type that could represent it.

MA.912.F.1.7

Compare key features of two functions each represented algebraically, graphically, in tables or written descriptions.

MA.912.F.2.2

Identify the effect on the graph of a given function of two or more transformations defined by adding a real number to the x- or y- values or multiplying the x- or y- values by a real number.

MA.912.F.2.3

Given the graph or table of f(x) and the graph or table of f(x)+k,kf(x), f(kx) and f(x+k), state the type of transformation and find the value of the real number k.

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