Answers Mathematics IINonlinear Functions

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Which equation represents the function graphed on the coordinate plane?

g of x is equal to start absolute value x plus 4 end absolute value minus 2

g of x is equal to start absolute value x minus 4 end absolute value minus 2

g of x is equal to start absolute value x minus 2 end absolute value plus 4

g of x is equal to start absolute value x minus 2 end absolute value minus 4

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The pitcher releases the ball at the highest point in the curve, and the catcher is located at the y -axis. According to the table, how high is the ball when it reaches the catcher?

56 feet

6 point 5 feet

0 feet

2 point 5 feet

Which statement accurately compares the functions on the graph?

The square root and quadratic function share a minimum.

The absolute value and quadratic function share a y -intercept.

All of the functions have a maximum.

The absolute value and square root function share an x -intercept.

Which statements can be used to accurately compare the functions? Choose two correct answers.

g of x has the lowest minimum.

f of x has the greatest maximum.

All three functions have a y -intercept.

All three functions have an x -intercept.

The domain of all three functions is the same.

The graph of f of x is equal to absolute value of x is stretched by a factor of 0 point 3 and translated down 4 units. Which statement about the domain and range of each function is correct?

The domain of the transformed function is all real numbers and is, therefore, different from that of the parent function.

The domain of the transformed function and the parent function are both all real numbers.

The range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function.

The range of the transformed function and the parent function are both all real numbers greater than or equal to 4 .

What is the catering cost for a dinner with 40 guests?

700 dollars

400 dollars

800 dollars

600 dollars

Which equation is the inverse of y is equal to 7 x squared minus 10 ?

y is equal to plus or minus square root of the fraction with numerator x plus 10 and denominator 7 end root

y is equal to plus or minus square root of x over 7 plus 10 end root

y is equal to the fraction with numerator plus or minus square root of x plus 10 end root and denominator 7

y is equal to the fraction with numerator plus or minus square root of x and denominator 7 plus or minus the fraction with numerator square root of 10 and denominator 7

Which function has a simplified base of 4 cube root of 4 ?

f of x is equal to 4 times open paren cube root of 16 close paren raised to the 2 x power

f of x is equal to 4 times open paren cube root of 64 close paren raised to the 2 x power

f of x is equal to 2 times open paren cube root of 64 close paren to the x th power

f of x is equal to 2 times open paren cube root of 16 close paren to the x th power

f of x is equal to 2 x minus 1 g of x is equal to 7 x minus 12 What is h of x is equal to f of x plus g of x ?

h of x is equal to 9 x minus 12

h of x is equal to negative 5 x plus 11

h of x is equal to 5 x minus 13

h of x is equal to 9 x minus 13

Which is equivalent to 16 raised to the 3 fourths x power ?

4th root of 16 raised to the 3 x power

3 x th root of 16 to the 4th power

cube root of 16 raised to the 4 x power

4 x th root of 16 cubed

Which equation is the inverse of y is equal to x squared minus 36 ?

y is equal to plus or minus square root of x plus 36

y is equal to plus or minus square root of x squared plus 36 end root

y is equal to plus or minus square root of x plus 6

y is equal to plus or minus square root of x plus 36 end root

Which is the graph of the piecewise-function f of x ? f of x is equal to negative x plus 1 when x is less than or equal to 0; f of x is equal to x plus 1 when x is greater than 0

Image with description On a coordinate plane, a piecewise function has 2 connecting lines. The first line goes from (negative 4 comma negative 5) up to (1 comma 0). The second line goes from (1 comma 0) down through (4 comma negative 3).

Image with description On a coordinate plane, a piecewise function has 2 connecting lines. The first line goes from (4 comma 5) down to (0 comma 1). The second line goes from (0 comma 1 up through (4 comma 5).

Image with description On a coordinate plane, a piecewise function has 2 connecting lines. The first line goes from (4 comma 5) down to (1 comma 0). The second line goes from (1 comma 0) up through (4 comma 3).

Image with description On a coordinate plane, a piecewise function has 2 connecting lines. The first line goes from (negative 5 comma negative 4) up to (0 comma 1). The second line goes from (0 comma 1) down through (4 comma negative 3).

If g of x is equal to 2 lfloor x rfloor minus 1 , what is g of negative 2 point 3 ?

negative 7

negative 3

negative 4

negative 5

The step function g of x is defined as shown. g of x is equal to negative 3 when x is less than or equal to 0; g of x is equal to 2 when 0 is less than x comma x is less than or equal to 4; g of x is equal to 5 when 4 is less than x comma x is less than or equal to 10 What is the range of g of x ?

0 is less than or equal to g of x comma g of x is less than or equal to 10

start set 0 comma 4 comma 10 end set

start set negative 3 comma 2 comma 5 end set

negative 3 is less than or equal to g of x comma g of x is less than or equal to 5

Which describes the range of the parent absolute value function?

start set y such that y is greater than or equal to 0 end set

start set y such that y is an integer end set

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

start set y such that y is less than or equal to 0 end set

Jack and Susie want to save to buy a trampoline for their children. They each open a savings account that earns 1 point 5 percent a year. Jack opens his account with 1 dollars comma 000 , and Susie opens her account with 800 dollars x is equal to number of years The following functions represent the value of the savings accounts in x years: Jack’s savings account: f of x is equal to 1000 times 1 point 0 1 5 to the x th power Susie’s savings account: g of x is equal to 800 times 1 point 0 1 5 to the x th power Which function represents the total amount Jack and Susie will save in x years?

1800 times 1 point 0 1 5 raised to the 2 x power

1800 times 1 point 0 3 0 to the x th power

200 times 1 point 0 1 5 to the x th power

1800 times 1 point 0 1 5 to the x th power

The graph of f of x is equal to absolute value of x is reflected across the x -axis and translated to the right 6 units. Which statement about the domain and range of each function is correct?

The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.

Both the domain and range of the transformed function are the same as those of the parent function.

The range of the transformed function is the same as the parent function, but the domains of the functions are different.

Neither the domain nor the range of the transformed function are the same as those of the parent function.

Which rule can be used to describe the growth of the y -values of the function y is equal to 12 to the x th power over each interval from x is equal to negative 1 to x is equal to 3 ?

add 1 , then 12 , then 144

multiply by 1 , then by 12 , then by 144

multiply by 12

add 12

Which statement is true about the functions?

The exponential function is generally growing faster than the linear function.

The exponential function and the linear function are generally growing at the same rate.

The exponential function is generally growing slower than the linear function.

The linear function is generally growing faster than the exponential function.

If both the x -axis and y -axis are measured in feet and the x -axis represents the ground, what is the width of the base of the piece of equipment?

20 ft

16 ft

8 ft

10 ft

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