AnswersAlgebraic ReasoningOperations with Multiple Functions

Operations with Multiple Functions — Quiz Answers

8 verified answers1 views
1
Free Preview

Adding two functions results in h of x is equal to 4 x , while multiplying the same functions results in j times x is equal to negative 5 x squared minus 12 x minus 4 Which statements describe f of x and g of x , the original functions? Choose two correct answers.

A
Both functions must have a constant rate of change.
B
The y -intercepts of f of x and g of x must be opposites.
C
Both functions must be quadratic.
D
The rate of change of f of x and g of x must be opposites.
E
Both functions must have a y -intercept of 0 .
3

The table shows the functions representing the height and base of a cone for different values of x x Height f of x is equal to 2 x Area of Base g of x is equal to pi x squared 1 2 pi 2 4 4 pi 3 6 9 pi 4 8 16 pi The volume of the cone when x is equal to 3 is 18 pi Which equation can be used to represent the volume of the cone, cap v times x ?

A
cap v times x is equal to 1 third open paren f plus g close paren x
B
cap v times x is equal to 3 open paren f plus g close paren x
C
cap v times x is equal to 3 open paren f times g close paren x
D
cap v times x is equal to 1 third open paren f times g close paren x
5

The table shows the functions representing the height and base of a triangle for different values of x x Height f of x is equal to x squared plus 3 Base g of x is equal to 2 x 1 4 1 2 7 4 3 12 6 4 19 8 The area of the triangle when x is equal to 2 is 14 Which equation can be used to represent the area of the triangle, cap A times x ?

A
cap A times x is equal to 2 open paren g plus f close paren x
B
cap A times x is equal to 0 point 5 open paren f times g close paren x
C
cap A times x is equal to 2 open paren f times g close paren x
D
cap A times x is equal to 0 point 5 open paren g plus f close paren x
6

Two functions are combined resulting in the function j times x is equal to negative 3 x squared plus 5 Which operations applied to the specified functions could result in j times x ? Choose three correct answers.

A
a linear function and a quadratic function combined by addition
B
two quadratic functions combined by addition
C
two linear functions combined by multiplication
D
two quadratic functions combined by multiplication
E
two linear functions combined by addition
7

The table shows the functions representing the length and width of a rectangle. x Length f of x is equal to x plus 3 Width g of x is equal to x plus 2 1 4 3 2 5 4 3 6 5 4 7 6 The perimeter of the rectangle when x is equal to 3 is 22 Which equation can be used to represent the perimeter of the rectangle, cap p times x ?

A
cap p times x is equal to 2 open paren f times g close paren x
B
cap p times x is equal to open paren f times g close paren of x
C
cap p times x is equal to 2 open paren f plus g close paren x
D
cap p times x is equal to open paren f plus g close paren of x

Did you find these answers helpful?