AnswersPrecalculusModeling with Rational and Piecewise-Defined Functions: Part Two

Practice Test Answers

14 verified answers2 views
1
Free Preview

What is the limit, if it exists? limit x to 8 of j times x

A
DNE
B
0 point 7 5
C
8
D
0 point 3 7 5
2
Free Preview

What are the one-sided limits of g of x around the vertical asymptote x is equal to negative 1 ?

A
limit x to negative 1 raised to the negative power of g times x is equal to infinity and limit x to negative 1 raised to the plus power of g times x is equal to infinity
B
limit x to negative 1 raised to the negative power of g times x is equal to negative infinity and limit x to negative 1 raised to the plus power of g times x is equal to negative infinity
C
limit x to negative 1 raised to the negative power of g times x is equal to infinity and limit x to negative 1 raised to the plus power of g times x is equal to negative infinity
D
limit x to negative 1 raised to the negative power of g times x is equal to negative infinity and limit x to negative 1 raised to the plus power of g times x is equal to infinity
3

Which statement is true about f of x plus 2 is equal to 1 sixth start absolute value x minus 3 end absolute value ?

A
The graph of f of x is a horizontal compression of the graph of the parent function.
B
The graph of f of x has a vertex of open paren negative 3 comma 2 close paren .
C
The graph of f of x has range of f of x is greater than or equal to negative 2 .
D
The graph of f of x opens downward.
4

What is the limit? limit x to 5 of open paren the fraction with numerator negative sine times open paren pi x over 3 close paren and denominator 3 close paren

A
negative the fraction with numerator square root of 3 and denominator 6
B
the fraction with numerator 3 square root of 3 and denominator 2
C
negative the fraction with numerator 3 square root of 3 and denominator 2
D
the fraction with numerator square root of 3 and denominator 6
5

Which of the following is the graph of f of x is equal to 3 start absolute value x minus 4 end absolute value plus 1 ?

A
Image with description On a coordinate plane, the scale on the x axis ranges from negative 9 to 1 in increments of 1, and the scale on the y axis ranges from negative 7 to 3 in increments of 1. The V-shaped graph opening downward has a vertex at (negative 4 comma 1) and the graph passes through the points (negative 6 comma negative 5) and (negative 2 comma negative 5).
B
Image with description On a coordinate plane, the scale on the x axis ranges from negative 8 to 2 in increments of 1, and the scale on the y axis ranges from negative 3 to 7 in increments of 1. The V-shaped graph opening upward has a vertex at (negative 4 comma negative 1) and the graph passes through the points (negative 6 comma 5) and (negative 2 comma 4).
C
Image with description On a coordinate plane, the scale on the x axis ranges from negative 1 to 9 in increments of 1, and the scale on the y axis ranges from negative 3 to 7 in increments of 1. The V-shaped graph opening upward has a vertex at (4 comma 1) and the graph passes through the points (3 comma 4) and (5 comma 4).
D
Image with description On a coordinate plane, the scale on the x axis ranges from negative 3 to 7 in increments of 1, and the scale on the y axis ranges from negative 7 to 3 in increments of 1. The V-shaped graph opening downward has a vertex at (4 comma negative 1) and the graph passes through the points (3 comma negative 4) and (5 comma negative 4).
6

Consider the function f of x is equal to the fraction with numerator x squared plus 11 x minus 12 and denominator x minus 1 Which statement describes the discontinuity at x is equal to 1 ?

A
a removable discontinuity that can be removed by extending the function to include f of 1 is equal to 13
B
a jump discontinuity that cannot be removed by extending the function
C
an infinite discontinuity that cannot be removed by extending the function
D
a removable discontinuity that can be removed by extending the function to include f of 1 is equal to negative 11
7

Which statement best compares the graphs of f of x is equal to lfloor x rfloor and f of x is equal to lceil x rceil ?

A
The two graphs are exactly the same.
B
The graph of f of x is equal to lceil x rceil is shifted up compared to the graph of f of x is equal to lfloor x rfloor , and the open and closed circles are the same.
C
The open and closed circles are reversed.
D
The graph of f of x is equal to lceil x rceil is shifted up compared to the graph of f of x is equal to lfloor x rfloor , and the open and closed circles are reversed.
8

Which of the following describes the graph of y is equal to lfloor x minus 2 rfloor ?

A
The graph has open circles on the left of each step and closed circles on the right and includes the step y is equal to negative 3 for negative 2 is less than or equal to x comma x is less than negative 1 .
B
The graph has open circles on the left of each step and closed circles on the right and includes the step y is equal to negative 4 for negative 2 is less than or equal to x comma x is less than negative 1 .
C
The graph has closed circles on the left of each step and open circles on the right and includes the step y is equal to negative 3 for negative 2 is less than x comma x is less than or equal to negative 1 .
D
The graph has closed circles on the left of each step and open circles on the right and includes the step y is equal to negative 4 for negative 2 is less than or equal to x comma x is less than negative 1 .
9

Which expression can be multiplied by the numerator and denominator to help evaluate the limit? limit x to negative 1 of the fraction with numerator square root of x minus 1 end root plus 1 and denominator x plus 1

A
x minus 1
B
square root of x minus 1 end root minus 1
C
x plus 1
D
square root of x minus 1 end root plus 1
10

If she orders 75 shirts and passes the cost along to the employees, what would each employee owe for the shirt if each pays the same amount? Round to the nearest cent.

A
7 point 4 7 dollars
B
7 point 4 0 dollars
C
7 point 5 3 dollars
D
7 point 6 6 dollars
11

For which value of x is the function continuous?

A
negative 1
B
1
C
negative 3
D
3
12

Which statement relates limits to an asymptote of the function?

A
The graph shows limit x to plus or minus infinity of f times x is equal to 2 , so the function has a horizontal asymptote at y is equal to 2 .
B
The graph shows limit x to plus or minus infinity of f times x is equal to 2 so the function has a vertical asymptote at x is equal to 2 .
C
The graph shows limit x to plus or minus infinity of f times x is equal to negative 1 , so the function has a horizontal asymptote at y is equal to negative 1 .
D
The graph shows limit x to plus or minus infinity of f times x is equal to negative 1 , so the function has a vertical asymptote at x is equal to negative 1 .
13

Which statement compares the limit as x approaches negative 4 for the two graphs?

A
In both graph I and graph II, the limit is 5 .
B
In graph I, the limit is 8 , but in graph II, the limit does not exist.
C
In graph I, the limit does not exist, but in graph II, the limit is 5 .
D
In both graph I and graph II, the limit does not exist.
14

What is the range of the graphed function?

A
left bracket negative 4 comma infinity right parenthesis
B
left parenthesis negative infinity comma 4 right bracket
C
the union of left bracket 4 right parenthesis and left bracket 2 right parenthesis
D
the union of left parenthesis 4 right bracket and open paren 2 close paren

Did you find these answers helpful?

More from this Course

practice test
20 verified answers

Practice Test

practice test
14 verified answers

Practice Test

practice test
10 verified answers

Practice Test