Answers Mathematics IINonlinear Functions

Nonlinear Functions — Test Answers

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Which value can fill in the blank in the function f of x is equal to underline absolute value of x to make its graph wider than that of the parent function, f of x is equal to absolute value of x ?

negative 1

1 fourth

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Which statement is true?

The second function grows approximately 2 point 5 times slower than the first function over the interval 2 is less than x comma x is less than 3 .

The second function grows approximately 6 times faster than the first function over the interval 2 is less than x comma x is less than 3 .

The second function grows approximately 21 times faster than the first function over the interval 4 is less than x comma x is less than 5 .

The second function grows approximately 21 times slower than the first function over the interval 4 is less than x comma x is less than 5 .

What was the purchase price of the land?

10,200 dollars

100,000 dollars

102,000 dollars

1,000,000 dollars

If the number of employees is an indicator of a successful business, in which company should Ajay invest?

company 2 because it is multiplying its number of employees by six each year while company 1 is adding six employees each year

company 2 because it is adding six employees each year while company 1 is multiplying its number of employees by six each year

company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year

company 1 because it is multiplying its number of employees by six each year while company 2 is adding six employees each year

Which statements can be used to compare the characteristics of the functions? Choose three correct answers.

g of x has the smallest minimum value.

All three functions share the same domain.

h of x has the greatest x - intercept.

f of x has the greatest maximum.

All three functions share the same y -intercept.

What is the simplified value of the exponential expression 16 raised to the 1 fourth power ?

1 fourth

1 half

When simplified, the expression open paren x raised to the 1 eighth power close paren times open paren x raised to the 3 eighths power close paren is 12 Which is a possible value of x ?

256

144

Which equation is the inverse of y is equal to 9 x squared minus 4 ?

y is equal to plus or minus square root of x over 9 plus 4 end root

y is equal to the fraction with numerator plus or minus square root of x plus 4 end root and denominator 3

y is equal to the fraction with numerator plus or minus square root of x plus 4 end root and denominator 9

y is equal to the fraction with numerator plus or minus square root of x and denominator 3 plus 2 thirds

Which equation is the inverse of open paren x minus 4 close paren squared minus 2 thirds is equal to 6 y minus 12 ?

y is equal to negative 4 plus or minus square root of 6 x minus 34 thirds end root

negative open paren x minus 4 close paren squared minus 2 thirds is equal to negative 6 y plus 12

y is equal to 1 sixth x squared minus 4 thirds x plus 43 ninths

y is equal to 4 plus or minus square root of 6 x minus 34 thirds end root

Which graph represents the function p times x is equal to start absolute value x minus 1 end absolute value ?

Image with description On a coordinate plane, an absolute value graph has a vertex at (negative 1, 0).

Image with description On a coordinate plane, an absolute value graph has a vertex at (0, negative 1).

Image with description On a coordinate plane, an absolute value graph has a vertex at (0, 1).

Image with description On a coordinate plane, an absolute value graph has a vertex at (1, 0).

The length of time in hours of two airplane flights are represented by the following functions, where x is the number of miles for the flight: Flight A: f of x is equal to 0 point 0 0 3 x minus 1 point 2 Flight B: g of x is equal to 0 point 0 0 1 5 x plus 0 point 8 Which function represents the total of the flight times, h of x is equal to f of x plus g of x ?

h of x is equal to 0 point 0 4 5 x minus 0 point 4

h of x is equal to 0 point 0 0 4 5 x minus 0 point 4

h of x is equal to 0 point 0 0 4 5 x minus 2

h of x is equal to 0 point 0 0 1 5 x minus 2

What is the domain of g of x ?

start set x such that negative 2 is less than or equal to x comma x is less than 5 end set

start set x such that x is a real number end set

start set x such that x is an integer end set

start set x such that negative 1 is less than or equal to x comma x is less than or equal to 5 end set

A machine is programmed to make a horizontal cut along the x -axis, trimming the sides of the satellite dish. What is the resulting width of the satellite dish, in feet?

6 ft

4 ft

8 ft

12 ft

Which function represents the area of the rectangle?

12 x squared plus 15 x minus 10

12 x squared plus 7 x plus 10

12 x squared plus 7 x minus 10

12 x squared minus 8 x minus 10

Determine which statements about h of x and about the reservoirs are true. Choose two correct answers.

h of x is equal to negative 2 x squared minus x plus 3

h of x is equal to negative 2 x squared minus 13 x plus 6

Reservoir A releases less water than Reservoir B over 1 week.

Reservoir A releases the same amount of water as Reservoir B over 1 week.

Reservoir A releases more water than Reservoir B over 1 week.

What is the range of the function f of x is equal to 3 fourths absolute value of x minus 3 ?

all real numbers less than or equal to 3

all real numbers less than or equal to negative 3

all real numbers greater than or equal to negative 3

all real numbers

Which function is represented by the graph?

f of x is equal to negative 2 start absolute value x plus 1 end absolute value

f of x is equal to negative 1 half start absolute value x plus 1 end absolute value

f of x is equal to negative 2 absolute value of x plus 1

f of x is equal to negative 1 half absolute value of x plus 1

Which of the following describes the growth rate of the exponential function in the graph?

For each x increase of 1 , the y increases by doubling and then adding 1 .

For each x increase of 1 , the y increases by 4 more than the previous increase.

For each x increase of 1 , the y increases by a common factor of 3 .

For each x increase of 1 , the y increases by a common difference of 3 .

Which equation represents the function graphed on the coordinate plane?

g of x is equal to start absolute value x plus 3 end absolute value minus 1

g of x is equal to start absolute value x plus 3 end absolute value plus 1

g of x is equal to start absolute value x plus 1 end absolute value plus 3

g of x is equal to start absolute value x minus 1 end absolute value plus 3

What was the original dose?

500 milligrams

24 milligrams

0 point 5 0 milligrams

8 milligrams

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Nonlinear Functions — Test Answers

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