N/A — Exam Answers

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63

Which statement best describes the domain and range of f of x is equal to negative 7 to the x th power and g of x is equal to 7 to the x th power ?

A
f of x and g of x have the same domain and the same range.
B
f of x and g of x have the same domain but different ranges.
C
f of x and g of x have different domains but the same range.
D
f of x and g of x have different domains and different ranges.
64

How does the graph of g of x is equal to 3 to the x th power minus 2 compare to the graph of f of x is equal to 3 to the x th power ?

A
The graph of g of x is a translation of f of x 2 units right.
B
The graph of g of x is a translation of f of x 2 units down.
C
The graph of g of x is a translation of f of x 2 units left.
D
The graph of g of x is a translation of f of x 2 units up.
65

Which graph is more likely to show a buyer that it is a good time to buy a car?

A
graph 2 because the y -axis scale makes it look like cars are selling at a lower price
B
graph 1 because the y -axis scale makes it look like cars are selling at a lower price
C
graph 1 because the x -axis scale makes it look like cars are selling at a lower price
D
graph 2 because the x -axis scale makes it look like cars are selling at a lower price
66

Trevor is studying a polynomial function f of x Three given roots of f of x are negative 7 , 2 i , and 7 Trevor concludes that f of x must be a polynomial with degree 3 Which statement is true?

A
Trevor is correct.
B
Trevor is not correct because negative 2 i must also be a root.
C
Trevor is not correct because there cannot be both rational and complex roots.
D
Trevor is not correct because there cannot be an odd number of roots.
68

What are all the rational roots of the polynomial f of x is equal to 20 x to the 4th power plus x cubed plus 8 x squared plus x minus 12 ?

A
negative 4 fifths and 3 fourths
B
negative 1 , negative 4 fifths , 3 fourths , and 1
C
negative 1 , negative 4 fifths , negative 3 fourths , and 1
D
negative 4 fifths and negative 3 fourths
69

Tyesha found that the z -statistic was 2 point 1 and that the critical z -values were negative 1 point 9 6 and 1 point 9 6 Which of the following is a valid conclusion based on these results?

A
One can reject the alternate hypothesis.
B
One can reject the null hypothesis.
C
One cannot accept or reject the null hypothesis.
D
One can accept the null hypothesis.
73

What is the domain of the function?

A
x is less than 2
B
x is greater than negative 2
C
x is greater than 0
D
all real numbers
74

Which of the following is true regarding the solutions to the logarithmic equation? 2 log sub 3 x is equal to 4 log sub 3 of open paren x squared close paren is equal to 4 x squared is equal to 3 to the 4th power x squared is equal to 81 x is equal to 9 comma negative 9

A
x is equal to 9 and x is equal to negative 9 are true solutions
B
x is equal to 9 and x is equal to negative 9 are extraneous solutions
C
x is equal to 9 is an extraneous solution and x is equal to negative 9 is a true solution
D
x is equal to 9 is a true solution and x is equal to negative 9 is an extraneous solution
75

Which of the following graphs could be the graph of the function f of x is equal to x cubed plus 8 ?

A
Image with description On a coordinate plane with x and y axes marked from negative 10 to 10, a polynomial graph is drawn. It starts from quadrant 2, passes through (negative 0 point 2 comma 10), crosses the y axis at (0 comma 8), crosses the x axis at (2 comma 0) and moves to quadrant 4 through the point (4 comma negative 8).
B
Image with description On a coordinate plane with x and y axes marked from negative 10 to 10, a polynomial graph is drawn. It starts from quadrant 1, passes through (1 comma 10), crosses the y axis at (0 comma 8)curves down and crosses the x axis at (negative 2 omma 0) and moves to quadrant 3 through the point (negative 2 point 5 comma negative 10).
C
Image with description On a coordinate plane with x and y axes marked from negative 10 to 10, a polynomial graph is drawn. It starts from quadrant 4, passes through (negative 3 point 2 comma negative 10), touches x axis at (negative 2 comma 0), moves down and crosses y axis at (0 comma negative 0). It moves down and curves up at (0 point 5 comma negative 9 point 5), passes through the x axis at (2 comma 0) and moves to quadrant 1 through (2 point 5 comma 10).
D
Image with description On a coordinate plane with x and y axes marked from negative 10 to 10, a polynomial graph is drawn. It starts from quadrant 2, passes through(negative 5 comma 10), touches the x axis at (negative 2 comma 0), passes through the y axis at (0 comma 4), and moves to quadrant 1 through (1 comma 10).
78

Which survey is most likely affected by bias?

A
a survey of supermarket shoppers about products they would like to see added
B
a survey of bike riders on whether they wear helmets
C
a survey of teenagers about their favorite colors
D
a survey of students about vacation policies in a school district
79

Omar wants to use a graph to solve the equation. the log base 6 of x is equal to log sub 2 of open paren x plus 4 close paren Which system of equations should Omar use?

A
y sub 1 is equal to the fraction with numerator log x and denominator log 6 , y sub 2 is equal to the fraction with numerator log x plus 4 and denominator log 2
B
y sub 1 is equal to the fraction with numerator log 6 and denominator x , y sub 2 is equal to the fraction with numerator log 2 and denominator x plus 4
C
y sub 1 is equal to the fraction with numerator log 6 and denominator log 2 , y sub 2 is equal to log x over the log of open paren x plus 4 close paren
D
y sub 1 is equal to the fraction with numerator log x and denominator log 6 , y sub 2 is equal to the fraction with numerator the log of open paren x plus 4 close paren and denominator log 2

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