The correct answers are:
Question 1:
- x3−−√=x23
- x−−√=x12
Question 2:
- 64x5−−−−√
- (4x2)32
Question 3:
Exponential Growth:
- f(x)=3x
- f(x)=12(2.1)x
Exponential Decay:
- f(x)=3(0.66)x
- f(x)=7(15)x
Question 4:
x-intercept: (-1,0)
y-intercept: (0, -6)
Question 5:
(-3, -5)
Question 6:
Graph not provided, unable to answer.
Question 7:
f(x) has the greater maximum value because its maximum is −12 and the maximum of g(x) is -2
Question 8:
4
Question 9:
204500=0.408
Question 1
A)Select two true equations below.(4 points)
Responses
x4−−√3=x34
cube root of x to the 4th power is equal to x raised to the 3 fourths power
x7−−√=x7
square root of x to the 7th power end root is equal to x to the 7th power
x7−−√3=x73
cube root of x to the 7th power is equal to x raised to the 7 thirds power
x3−−√=x23
square root of x cubed end root is equal to x raised to the 2 thirds power
x−−√=x12
square root of x is equal to x raised to the 1 half power
Question 2
A)Select two expressions that are equivalent to (4x2)3−−−−−√
(4 points)
Responses
64x3
64 x cubed
8x3
8 x cubed
12x6−−−−√
square root of 12 x to the 6th power end root
(4x2)32
open paren 4 x squared close paren raised to the 3 halves power
64x5−−−−√
square root of 64 x to the 5th power end root
Question 3
A)Classify each exponential function as exponential growth or decay by sorting them into the categories below.(4 points)
Exponential Growth Exponential Decay
f(x)=3x
f(x)=12(2.1)x
f(x)=3(0.66)x
f(x)=7(15)x
Question 4
A)What is the x-intercept and y-intercept of f(x)=2(14)x−8
.(4 points)
Responses
x-intercept: (-6,0)
y-intercept: (0, -1)
x-intercept: (-6,0) y-intercept: (0, -1)
x-intercept: none
y-intercept: (0, -6)
x-intercept: none y-intercept: (0, -6)
x-intercept: (-1,0)
y-intercept: (0, -6)
x-intercept: (-1,0) y-intercept: (0, -6)
x-intercept: (-6,0)
y-intercept: (0, -1)
x-intercept: (-6,0) y-intercept: (0, -1)
Question 5
A)What is the vertex of the absolute value function f(x)=2|x+3|−5
?(4 points)
Responses
(3, -5)
(3, -5)
(3, 5)
(3, 5)
(-3, 5)
(-3, 5)
(-3, -5)
(-3, -5)
Question 6
A)
Select the graph below that represents the piecewise function below.
(4 points)
Responses
Question 7
A)
Given the two functions below, which one has the greater maximum value?
f(x)=−12(x+3)2−5
(4 points)
Responses
g(x) has the greater maximum value because its maximum is 3 and the maximum of f(x) is -3
g(x) has the greater maximum value because its maximum is 3 and the maximum of f(x) is -3
f(x) has the greater maximum value because its maximum is −12
and the maximum of g(x) is -2
f(x) has the greater maximum value because its maximum is negative 1 half and the maximum of g(x) is -2
f(x) has the greater maximum value because its maximum is 3 and the maximum of g(x) is -3
f(x) has the greater maximum value because its maximum is 3 and the maximum of g(x) is -3
g(x) has the greater maximum value because its maximum is -1 and the maximum of f(x) is -5
g(x) has the greater maximum value because its maximum is -1 and the maximum of f(x) is -5
Question 8
A)Calculate the average rate of change of f(x)=2x−4
over the interval [0, 4].(4 points)
Responses
2
2
154
15 fourths
16
16
4
4
Question 9
A)
Use the table below to answer the next three questions.
The table contains the results of a survey asking people if they have a cat and/or a dog.
What is the probability of selecting a person at random that has a dog?
(4 points)
Responses
296500=0.592
296 over 500 is equal to 0 point 5 9 2
204500=0.408
204 over 500 is equal to 0 point 4 0 8
96500=0.192
96 over 500 is equal to 0 point 1 9 2
200500=0.400
pick the correct answer for each question.
1 answer