AnswersAlgebra IICubic and Cube Root Functions and Equations

Practice Test Answers

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What are the solutions to the equation square root of x squared plus 2 x minus 10 end root is equal to square root of x plus 20 end root ?

A
x is equal to negative 5 , x is equal to 6
B
x is equal to negative 6 , x is equal to 5
C
x is equal to 5 , x is equal to 6
D
x is equal to negative 6 , x is equal to negative 5
2
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Which is the graph of the function f of x is equal to x cubed minus x squared minus 17 x minus 15 ?

A
Image with description On a coordinate plane, a curve goes through the point negative 3.5 comma 0. It increases to a relative maximum near negative 2 comma 12. Then it decreases to a relative minimum near 2.5 comma negative 40 and increases through the point 4.8 comma 0.
B
Image with description On a coordinate plane, a curve goes through the point negative 3 comma 0. It increases to a relative maximum near negative 2 comma 12. Then it decreases to a relative minimum near 2.5 comma negative 48 and increases through the point 5 comma 0.
C
Image with description On a coordinate plane, a curve goes through the point negative 4 comma 0. It increases to a relative maximum near negative 2 comma 22. Then it decreases to a relative minimum near 2.5 comma negative 28 and increases through the point 4.5 comma 0.
D
Image with description On a coordinate plane, a curve goes through the point negative 4 comma 0. It increases to a relative maximum near negative 2 comma 35. Then it decreases to a relative minimum near 2.5 comma negative 18 and increases through the point 4 comma 0.
3

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 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'
B
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'
C
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'
D
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'
4

Which statement about square root of x minus square root of x minus 5 end root is equal to 1 is true?

A
x is equal to 4 is a true solution.
B
x is equal to 9 is a true solution.
C
x is equal to 9 is an extraneous solution.
D
x is equal to 4 is an extraneous solution.
5

What is the range of the translated function?

A
start set y such that y is greater than or equal to 0 end set
B
start set y such that y is less than 0 end set
C
start set y such that y end set is a real number
D
start set y such that y end set is a natural number
6

Which represents g of x , the translated function?

A
g of x is equal to x plus 6 cubed minus 4
B
g of x is equal to x minus 4 cubed plus 6
C
g of x is equal to x plus 4 cubed plus 6
D
g of x is equal to x minus 6 cubed minus 4

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