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L7- Features of Functions and Function Transformations Assessment

Last updated over 3 years ago

28 questions

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Question 26

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Question 27

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Question 28

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If a function crosses an axis at (a,0), this location is known as the X-INTERCEPT of the function.

True

False

The function f(x)=5^{x} has a y-intercept of (0,5)

True

False

If f(x)=\sqrt{x} has a reflection about the x-axis, its new function is f(x)=-\sqrt{x}

True

False

If you have a translated function in the form f(x)=(x+h)^{2}-k, the graph shifted h units right, and k units down

True

False

The quadratic function f(x)=x^{2}-2 has a domain of [-2,\infty)

True

False

The range for a quadratic function is all real numbers.

True

False

Give the domain for the function f(x)=\sqrt{x+4}+2

(-\infty, \infty)

[-\infty, \infty]

[4, \infty)

(-\infty, 4]

[-4, \infty)

[0, \infty)

(0, \infty)

(-\infty, 2) or (2, \infty)

(-\infty, 0) or (0, \infty)

[2, \infty)

(2, \infty)

(-\infty, 2]

Give the range for the function f(x)=\sqrt{x+4}+2

(-\infty, \infty)

[-\infty, \infty]

[4, \infty)

(-\infty, 4]

[-4, \infty)

[0, \infty)

(0, \infty)

(-\infty, 2) or (2, \infty)

(-\infty, 0) or (0, \infty)

[2, \infty)

(2, \infty)

(-\infty, 2]

Give the domain for the function f(x)=4-x^{2}

(-\infty, \infty)

[-\infty, \infty]

[4, \infty)

(-\infty, 4]

[-4, \infty)

[0, \infty)

(0, \infty)

(-\infty, 2) or (2, \infty)

(-\infty, 0) or (0, \infty)

[2, \infty)

(2, \infty)

(-\infty, 2]

Give the range for the function f(x)=4-x^{2}

(-\infty, \infty)

[-\infty, \infty]

[4, \infty)

(-\infty, 4]

[-4, \infty)

[0, \infty)

(0, \infty)

(-\infty, 2) or (2, \infty)

(-\infty, 0) or (0, \infty)

[2, \infty)

(2, \infty)

(-\infty, 2]

Give the domain for the function f(x)=2x+4

(-\infty, \infty)

[-\infty, \infty]

[4, \infty)

(-\infty, 4]

[-4, \infty)

[0, \infty)

(0, \infty)

(-\infty, 2) or (2, \infty)

(-\infty, 0) or (0, \infty)

[2, \infty)

(2, \infty)

(-\infty, 2]

Give the range for the function f(x)=2x+4

(-\infty, \infty)

[-\infty, \infty]

[4, \infty)

(-\infty, 4]

[-4, \infty)

[0, \infty)

(0, \infty)

(-\infty, 2) or (2, \infty)

(-\infty, 0) or (0, \infty)

[2, \infty)

(2, \infty)

(-\infty, 2]

Give the domain for the function f(x)=4^{x}+2

(-\infty, \infty)

[-\infty, \infty]

[4, \infty)

(-\infty, 4]

[-4, \infty)

[0, \infty)

(0, \infty)

(-\infty, 2) or (2, \infty)

(-\infty, 0) or (0, \infty)

[2, \infty)

(2, \infty)

(-\infty, 2]

Give the range for the function f(x)=4^{x}+2

(-\infty, \infty)

[-\infty, \infty]

[4, \infty)

(-\infty, 4]

[-4, \infty)

[0, \infty)

(0, \infty)

(-\infty, 2) or (2, \infty)

(-\infty, 0) or (0, \infty)

[2, \infty)

(2, \infty)

(-\infty, 2]

Describe how the graph of  f(x)=\sqrt{x}+1  translates to f(x)=-7\sqrt{x}-9

up 1

down 9

reflection over the x axis

Compress vertically by a factor of 1/7

Stretch vertically by a factor of 7

down 10

Choose the translated function from y=|x| that has a vertical shrink of 0.25, a reflection about the x-axis and a vertical shift of 8 units down.

y=-0.25|x+8|

y=0.25|x|-8

y=-0.25|x|-8

y=0.25|x-8|

Select how the graph of f(x)=-0.5|x-12|translates from the parent graph of f(x)=|x|

stretch vertically by a factor of 2

shrink vertically be a factor of -1/2

shrink vertically by a factor of 1/2

reflect over the x axis

left 12

right 12

Given the function h(x)=-x^{2}+16, what is the parent function?

y=x

y=\sqrt{x}

y=x^{2}

y=x^{3}

Given the function h(x)=-x^{2}+16, what is the domain?

all real numbers

y>16

(-\infty, 0)

(0,\infty)

Given the function h(x)=-x^{2}+16, what is the range?

all real numbers

-\infty< y\leq16

(-\infty, 0)

(0,\infty)

y\geq16

Given the function h(x)=-x^{2}+16, what is the increasing interval?

none

all real numbers

(0,\infty)

(-\infty,0)

Given the function h(x)=-x^{2}+16, what is the decreasing interval?

none

all real numbers

(0,\infty)

(-\infty,0)

Given the function h(x)=-x^{2}+16, what is the positive interval?

(-4,4)

all real numbers

none

(0,\infty)

(-\infty, 0)

Given the function h(x)=-x^{2}+16, what is the negative interval?

(0,\infty)

(-\infty, 0)

(-\infty,-4) or (4, \infty)

all real numbers

none

Given the function h(x)=-x^{2}+16, what is the maximum?

(0,0)

(4,0)

(-4,0)

(0,16)

Given the function h(x)=-x^{2}+16, what is the y intercept?

(0,0)

(4,0)

(-4,0)

(0,16)

Given the function h(x)=-x^{2}+16, what is the x intercept(s)?

(0,0)

(4,0)

(-4,0)

(0,16)

Given the function h(x)=-x^{2}+16, what is the end behavior?

x \rightarrow -\infty  y \rightarrow \infty ,x \rightarrow \infty  y \rightarrow \infty

x \rightarrow -\infty y \rightarrow \infty, x \rightarrow \infty y \rightarrow -\infty

x \rightarrow -\infty y\rightarrow -\infty, x \rightarrow \infty y \rightarrow \infty

x \rightarrow -\infty y\rightarrow -\infty, x \rightarrow \infty y \rightarrow -\infty