4. Radical Functions & Rational Exponents
4.05 Graphs and characteristics of square root functions
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?
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A
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B
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C
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D
d
Consider the function $y=5\sqrt{x}$y=5√x. How does this function differ from $y=\sqrt{x}$y=√x?
They have different $x$x-intercepts.
A
$y=5\sqrt{x}$y=5√x 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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