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L7- Features of Functions and Function Transformations Assessment
By Ivy B Briggs
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Last updated over 3 years ago
28 questions
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Question 1
1.
If a function crosses an axis at (a,0), this location is known as the X-INTERCEPT of the function.
True
False
Question 2
2.
The function f(x)=5^{x} has a y-intercept of (0,5)
True
False
Question 3
3.
If f(x)=\sqrt{x} has a reflection about the x-axis, its new function is f(x)=-\sqrt{x}
True
False
Question 4
4.
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
Question 5
5.
The quadratic function f(x)=x^{2}-2 has a domain of [-2,\infty)
True
False
Question 6
6.
The range for a quadratic function is all real numbers.
True
False
Question 7
7.
Question 8
8.
Question 9
9.
Question 10
10.
Question 11
11.
Question 12
12.
Question 13
13.
Question 14
14.
Question 15
15.
Question 16
16.
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|
Question 17
17.
Question 18
18.
Given the function h(x)=-x^{2}+16, what is the parent function?
y=x
y=\sqrt{x}
y=x^{2}
y=x^{3}
Question 19
19.
Given the function h(x)=-x^{2}+16, what is the domain?
all real numbers
y>16
(-\infty, 0)
(0,\infty)
Question 20
20.
Given the function h(x)=-x^{2}+16, what is the range?
all real numbers
-\infty< y\leq16
(-\infty, 0)
Question 21
21.
Given the function h(x)=-x^{2}+16, what is the increasing interval?
none
all real numbers
(0,\infty)
(-\infty,0)
Question 22
22.
Given the function h(x)=-x^{2}+16, what is the decreasing interval?
none
all real numbers
(0,\infty)
(-\infty,0)
Question 23
23.
Given the function h(x)=-x^{2}+16, what is the positive interval?
(-4,4)
all real numbers
none
Question 24
24.
Given the function h(x)=-x^{2}+16, what is the negative interval?
(0,\infty)
(-\infty, 0)
(-\infty,-4) or (4, \infty)
Question 25
25.
Given the function h(x)=-x^{2}+16, what is the maximum?
(0,0)
(4,0)
(-4,0)
(0,16)
Question 26
26.
Given the function h(x)=-x^{2}+16, what is the y intercept?
(0,0)
(4,0)
(-4,0)
(0,16)
Question 27
27.
Given the function h(x)=-x^{2}+16, what is the x intercept(s)?
(0,0)
(4,0)
(-4,0)
(0,16)
Question 28
28.
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
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
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
(0,\infty)
y\geq16
(0,\infty)
(-\infty, 0)
all real numbers
none