AnswersAlgebra 2 with ProbabilitySquare Root and Cube Root Functions

Practice Test Answers

10 verified answers
1
Free Preview

Which describes all possible values of f of x in the function f of x is equal to the fraction with numerator square root of x and denominator 2 ?

A
all real numbers except for 0
B
all positive real numbers and 0
C
all negative real numbers and 0
D
all real numbers
2
Free Preview

Which statement is true about the function f of x is equal to negative square root of negative x ?

A
The domain of the function is all negative real numbers.
B
The range of the function is all positive real numbers.
C
The domain and range of the function have opposite signs.
D
The domain and range of the function are the same.
3

Which function has a domain of x is greater than or equal to 5 and a range of y is less than or equal to 3 ?

A
y is equal to square root of x minus 5 end root plus 3
B
y is equal to negative square root of x minus 5 end root plus 3
C
y is equal to square root of x plus 5 end root minus 3
D
y is equal to negative square root of x plus 5 end root minus 3
4

Which statement best describes g of x is equal to cube root of x plus 6 minus 8 and the parent function f of x is equal to cube root of x ?

A
The ranges of g of x and f of x are the same, and their domains are also the same.
B
The domains of g of x and f of x are the not the same, and their ranges are also not the same.
C
The ranges of g of x and f of x are the same, but their domains are not the same.
D
The domains of g of x and f of x are the same, but their ranges are not the same.
5

The graph of y is equal to square root of x is translated. The translation is defined by open paren x comma y close paren to open paren x minus 3 comma y plus 1 close paren Which is the graph of the translated image?

A
Image with description A coordinate plane has both the x and y axes labeled from negative 5 to 5. A smooth curve is plotted that originates from the point negative 1 comma negative 3, moves to the right, and passes through the point 2 comma negative 2.
B
Image with description A coordinate plane has both the x and y axes labeled from negative 5 to 5. A smooth curve is plotted that originates from the point negative 3 comma 1, moves to the right, and passes through the point 1 comma 3.
C
Image with description A coordinate plane has both the x and y axes labeled from negative 5 to 5. A smooth curve is plotted that originates from the point 3 comma negative 1, moves to the right, and passes through the point 4 comma 0.
D
Image with description A coordinate plane has both the x and y axes labeled from negative 5 to 5. A smooth curve is plotted that originates from the point negative 1 comma negative 3, moves to the right, and passes through the point 0 comma negative 2.
6

The function y is equal to square root of x is translated using the rule x comma y to x minus 7 comma y plus 2 to create f of x What is the domain of f of x ?

A
start set x such that x is greater than or equal to 7 end set
B
start set x such that x is greater than or equal to negative 2 end set
C
start set x such that x is greater than or equal to 2 end set
D
start set x such that x is greater than or equal to negative 7 end set
7

Which statement is true about the function f of x is equal to square root of negative x ?

A
It has the same range as the function f of x is equal to negative square root of negative x .
B
It has the same domain as the function f of x is equal to negative square root of negative x .
C
It has the same range as the function f of x is equal to negative square root of x .
D
It has the same domain as the function f of x is equal to negative square root of x .
8

Which graph represents y is equal to cube root of x plus 2 ?

A
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis, both axes labeled from negative 8 to 8 by twos with grid lines every 1 unit. An S-shaped curve crosses the vertical axis at 0 comma negative 2 and crosses the horizontal axis at 8 comma 0. The curve extends to the left ending in an arrow near negative 9 comma negative 4, and extends to the right ending in an arrow near 9 comma 0.3.
B
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis, both axes labeled from negative 8 to 8 by twos with grid lines every 1 unit. An S-shaped curve crosses the horizontal axis at 2 comma 0 and crosses the vertical axis near 0 comma negative 1.3. The curve extends to the left ending in an arrow near negative 9 comma negative 2.2, and extends to the right ending in an arrow near 9 comma 2.
C
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 8 comma 0), (0 comma 2), and (8 comma 4). The curve has a point of inflection at (0 comma 2).
D
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis, both axes labeled from negative 8 to 8 by twos with grid lines every 1 unit. An S-shaped curve crosses the horizontal axis at negative 2 comma 0 and crosses the vertical axis near 0 comma 1.3. The curve extends to the left ending in an arrow near negative 9 comma negative 1.5, and extends to the right ending in an arrow near 9 comma 2.2.
9

Which is the graph of the function f of x is equal to square root of 9 fourths x end root ?

A
Image with description A coordinate plane with the x-axis labeled from 0 to 9 and the y-axis labeled from 0 to 4.5. A smooth curve is plotted that originates from the point 0 comma 0 and passes through the point 1 comma 0.66 and the point 4 comma 1.33.
B
Image with description A coordinate plane has both the x and y axes labeled from 0 to 9. A smooth curve is plotted that originates from the point 0 comma 0 and passes through the point 1 comma 1.5 and the point 4 comma 3.
C
Image with description A coordinate plane with the x-axis labeled from 0 to 9 and the y-axis labeled from 0 to 4.5. A smooth curve is plotted that originates from the point 0 comma 0 and passes through the point 1 comma 0.44 and the point 4 comma 0.89.
D
Image with description A coordinate plane has both the x and y axes labeled from 0 to 9. A smooth curve is plotted that originates from the point 0 comma 0 and passes through the point 1 comma 2.25 and the point 4 comma 4.5.
10

Which table represents points on the graph of h of x is equal to cube root of negative x plus 2 ?

A
Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 6'; Column 3, '1'; Column 4, '2'; Column 5, '3'; Column 6, '10' Row 2: Column 1, 'y'; Column 2, '2'; Column 3, '1'; Column 4, '0'; Column 5, 'negative 1'; Column 6, 'negative 2'
B
Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 4'; Column 3, 'negative 3'; Column 4, 'negative 2'; Column 5, 'negative 1'; Column 6, '0' Row 2: Column 1, 'y'; Column 2, 'negative 8'; Column 3, 'negative 1'; Column 4, '0'; Column 5, '1'; Column 6, '8'
C
Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 8'; Column 3, 'negative 1'; Column 4, '0'; Column 5, '1'; Column 6, '8' Row 2: Column 1, 'y'; Column 2, '4'; Column 3, '3'; Column 4, '2'; Column 5, '1'; Column 6, '0'
D
Table with 6 columns and 2 rows.Row 1: Column 1, 'x'; Column 2, 'negative 2'; Column 3, 'negative 1'; Column 4, '0'; Column 5, '1'; Column 6, '2' Row 2: Column 1, 'y'; Column 2, '10'; Column 3, '3'; Column 4, '2'; Column 5, '1'; Column 6, 'negative 6'

Did you find these answers helpful?

More from this Course

practice test
18 verified answers

Practice Test

practice test
16 verified answers

Practice Test

Quiz
23 verified answers

Test

Practice Test Answers — Algebra 2 with…