Answers Mathematics IIIRelationships Between Quantities

Relationships Between Quantities — Test Answers

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Which graph represents an odd function?

Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 8 points. The points are (negative 4 comma 2), (negative 3 comma negative 1), (negative 1 comma negative 3), (0 comma 1), (1 comma 0), (2 comma negative 4), (4 comma 5), and (5 comma 4).

Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 11 points. The points are (negative 4 comma 3), (negative 4 comma 4), (negative 3 comma 5), (negative 2 comma 1) , (negative 1 comma negative 1), (0 comma negative 3), (1 comma negative 1), (2 comma 1), (3 comma 5), (4 comma 3), and (4 comma 4).

Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 8 points. The points are (negative 4 comma 0), (negative 3 comma 1), (negative 2 comma negative 3), (negative1 comma negative 2), (1 comma 2), (2 comma 3), (3 comma negative 1), and (4 comma 0).

Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 6 points. The points are (negative 5 comma 3), (negative 3 comma 1), (negative 1 comma 1), (1 comma 3), (3 comma negative 5), (5 comma negative 1).

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The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0 point 7 5 to 1 point 0 0 hours? Time Elapsed (Hours) Miles Traveled (Miles) 0 point 5 0 2 point 0 0 0 point 7 5 3 point 5 0 1 point 0 0 4 point 7 5

5 point 5 0 miles per hour

5 point 0 0 miles per hour

6 point 0 0 miles per hour

4 point 7 5 miles per hour

Which equation represents a nonlinear function?

2 times open paren y plus x close paren is equal to 0

3 y plus 6 times open paren 2 minus x close paren is equal to 5

y minus 2 times open paren x plus 9 close paren is equal to 0

x times open paren y minus 5 close paren is equal to 2

If f of x is an even function and open paren 6 comma 8 close paren is one the points on the graph of f of x , which reason explains why open paren negative 6 comma 8 close paren must also be a point on the graph?

The graph has rotational symmetry, so the point will be reflected across the y -axis.

Since the function is even, the outputs of a negative x -value and a positive x -value are the same.

The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.

Since the function is even, the outputs of a negative y -value and a positive y -value are the same.

If f of x is equal to 1 ninth x minus 2 , what is f inverse of x ?

f inverse of x is equal to 9 x plus 18

f inverse of x is equal to negative 2 x plus 1 ninth

f inverse of x is equal to 9 x plus 2

f inverse of x is equal to 1 ninth x plus 2

Which statement is true about f of x is equal to negative 2 thirds start absolute value x plus 4 end absolute value minus 6 ?

The graph of f of x is a horizontal stretch of the graph of the parent function.

The graph of f of x opens upward.

The graph of f of x has a domain of x is less than or equal to negative 6 .

The graph of f of x has a vertex of open paren negative 4 comma 6 close paren .

The formula for the volume of a sphere is cap v is equal to 4 thirds pi r cubed What is the formula solved for r ?

r is equal to cube root of 3 cap v minus 4 pi

r is equal to 3 cap v plus 4 pi

r is equal to cube root of 3 cap v over 4 pi

r cubed is equal to 3 cap v minus 4 pi

If h of x is the inverse of f of x , what is the value of h of f of x ?

f of x

If c times x is equal to 4 x minus 2 and d times x is equal to x squared plus 5 x , what is open paren c circ d close paren times x ?

16 x squared plus 4 x minus 6

4 x cubed plus 18 x squared minus 10 x

x squared plus 9 x minus 2

4 x squared plus 20 x minus 2

If u times x is equal to x to the 5th power minus x to the 4th power plus x squared and v times x is equal to negative x squared , which expression is equivalent to open paren u over v close paren times x ?

x cubed minus x squared

negative x cubed plus x squared minus 1

x cubed minus x squared plus 1

negative x cubed plus x squared

If A times x is equal to 2 x minus 4 and b times x is equal to x plus 2 , which of the following expressions produces a quadratic function?

A b times x

open paren A plus b close paren times x

open paren A over b close paren times x

open paren A minus b close paren times x

The standard diameter of a golf ball is 42 point 6 7 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0 point 0 0 2 mm. Which function could represent this situation?

f of x is equal to x minus absolute value of 42 point 6 7

f of x is equal to start absolute value 42 point 6 7 minus x end absolute value

f of x is equal to 42 point 6 7 minus absolute value of x

f of x is equal to absolute value of x minus 42 point 6 7

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is 1 fourth the area of the original square. What was the side length of the original square? cap A is equal to s squared

1 in.

12 in.

2 in.

6 in.

Given f of x is equal to 17 minus x squared , what is the average rate of change in f of x over the interval left bracket 1 comma 5 right bracket ?

negative 6

1 fourth

negative 1 half

The value, cap v times m , of a comic book m months after publication has an average rate of change of negative 0 point 0 4 between m is equal to 36 and m is equal to 60 Which statement must be true?

The value of the comic book decreased by a total of 0 point 0 4 dollars between m is equal to 36 and m is equal to 60 .

The value of the comic book decreased by an average of 0 point 0 4 dollars each month between m is equal to 36 and m is equal to 60 .

The value of the comic book increased by a total of 0 point 0 4 dollars between m is equal to 36 and m is equal to 60 .

The value of the comic book increased by an average of 0 point 0 4 dollars each month between m is equal to 36 and m is equal to 60 .

If A times x is equal to 3 x plus 1 and b times x is equal to square root of x minus 4 end root , what is the domain of open paren b circ A close paren times x ?

left bracket 0 comma infinity right parenthesis

left bracket 4 comma infinity right parenthesis

left bracket 1 comma infinity right parenthesis

open paren negative infinity comma infinity close paren

Which graph represents y minus 1 is equal to 2 times open paren x minus 2 close paren ?

Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a positive slope passing through the points (negative 2 comma negative 5), (0 comma negative 1), (0 point 5 comma 0) and (2 comma 3).

Image with description On a coordinate plane, the x and y axes marked from negative 6 to 6, there is a straight line with a positive slope. The line passes through the y axis at (0 comma negative 3) and the x axis at (1 point 5 comma 0). It extends indefinitely, rising from the third quadrant, through the fourth, and into the first quadrant.

Image with description On a coordinate plane, the x and y axes marked from negative 6 to 6, there is a straight line with a negative slope. The line passes through the y axis at (0 comma 2) and the x axis at (1 comma negative 1). It extends indefinitely, descending from the second quadrant, through the first, and into the fourth quadrant.

Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a negative slope passing through the points (0 comma 4) and (2 comma 0).

If f of x is equal to x plus 7 and g of x is equal to the fraction with numerator 1 and denominator x minus 13 , what is the domain of open paren f circ g close paren times x ?

start set x such that x is not equal to 13 end set

start set x such that x is not equal to negative 13 end set

start set x such that x is not equal to 6 end set

start set x such that x is not equal to negative 6 end set

The formula for the area of a trapezoid is cap A is equal to 1 half open paren b sub 1 plus b sub 2 close paren h When this equation is solved for b sub 1 , one equation is b sub 1 is equal to 2 cap A over h minus b sub 2 Which of the following is an equivalent equation to find b sub 1 ?

b sub 1 is equal to the fraction with numerator 2 cap A minus b sub 2 h and denominator h

b sub 1 is equal to h of open paren 2 cap A minus b sub 2 h close paren

b sub 1 is equal to 2 cap A minus b sub 2 h

b sub 1 is equal to the fraction with numerator h and denominator 2 cap A minus b sub 2 h

Given the equation the fraction with numerator 2 x plus 2 and denominator y is equal to 4 w plus 2 what is the value of x ?

x is equal to 2 y w plus y minus 2

x is equal to 2 y w plus y minus 1

x is equal to 4 y w plus 2 y minus 2

x is equal to y w plus y minus 1

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Relationships Between Quantities — Test Answers

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