AnswersMathematics IILinear Piecewise Defined Functions

Linear Piecewise Defined Functions — Quiz Answers

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1
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Which times and distances are represented by the function? Choose three correct answers.

A
The total distance from home after 6 hours is 1 comma 062 point 5 miles.
B
At 3 hours, the distance is constant, at 875 miles.
C
The starting distance, at 0 hours, is 300 miles.
D
At 2 hours, the traveler is 725 miles from home.
E
At 2 point 5 hours, the traveler is still moving farther from home.
2
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What is the value of h of 3 ?

A
negative 1
B
negative 2
C
2
D
1
3

The function f ( x ) is to be graphed on a coordinate plane. f⁡(x)={x+3,x>0−x,x≤0 At what point should a closed circle be drawn?

A
(3, 0)
B
(1, 0)
C
(0, 0)
D
open paren 0 comma negative 3 close paren
4

Which value is in the domain of f of x ? f of x is equal to 2 x plus 5 when negative 6 is less than x is less than or equal to 0; f of x is equal to negative 2 plus 3 when 0 is less than x and x is less than or equal to 4

A
4
B
5
C
negative 7
D
negative 6
5

A piecewise function f⁡(x) is defined as shown. f⁡(x)={3⁢x+5,0≤x<3−2⁢x+1,3≤x<7x+8,7≤x≤10 Evaluate f⁡(3) and f⁡(7) Enter your answers in the boxes.

Answer:

-5|15

6

A piecewise function f⁡(x) is defined as shown. f⁡(x)={(1)/(2)⁢x−4,−6<x≤23⁢x−9,2<x≤5 The domain of f⁡(x) is −6<x≤5 Use interval notation to state the range of f⁡(x) Enter your answers in the boxes.

Answer:

(-7,6]

7

The piecewise-function f of x has opposite expressions. f of x is equal to 2 x minus 1 when x is less than 0; f of x is equal to 0 when x is equal to 0; f of x is equal to negative 2 plus 1 when x is greater 0 Which is the graph of f of x ?

A
Image with description On a coordinate plane, a piecewise function has 2 lines. The first line goes down through (negative 1 comma 3) to a open circle at (0 comma 1). The second line has a closed circle at (0 comma negative 1) and goes up through (2 comma 3).
B
Image with description On a coordinate plane, a piecewise function has 2 lines. The first line goes up from (negative 2 comma negative 5) to a circle at (0 comma negative 1). The second line has a closed circle at (0 comma 1) and goes down through (2 comma negative 3).
C
Image with description On a coordinate plane, a piecewise function has 2 lines. The first line goes through (negative 3 comma 4) and goes down to a circle at (negative 1 comma 0). The second line has a closed circle at (1 comma 0) and goes up through (3 comma 4).
D
Image with description On a coordinate plane, a piecewise function has 2 lines. The first line goes up through (negative 3 comma negative 4) to a circle at (0 comma 2). The second line has a closed circle at (0 comma 2) and goes down through (3 comma negative 4).
8

A piecewise-function f of x is defined as shown. f of x is equal to negative 5 forths plus 90 when 0 is less than or equal to x and x is less than 40; f of x is equal to negative 3 eighths plus 75 when 40 is less than or equal to x and x is less than or equal to 200 Which table could be used to graph a piece of the function?

A
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, '90' Row 3: Column 1, '40'; Column 2, '40' Row 4: Column 1, '200'; Column 2, '0'
B
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, '90' Row 3: Column 1, '16'; Column 2, '85' Row 4: Column 1, '40'; Column 2, '75'
C
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '40'; Column 2, '75' Row 3: Column 1, '120'; Column 2, '30' Row 4: Column 1, '200'; Column 2, '0'
D
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '40'; Column 2, '60' Row 3: Column 1, '160'; Column 2, '15' Row 4: Column 1, '200'; Column 2, '0'
9

A piecewise-function is defined as shown. f of x is equal to negative x when x is less than or equal to negative 1; f of x is equal to 1 when x is equal to 0; f of x is equal to x plus 1 when x is greater than or equal to 1 What is the value of f of x when x is equal to 3 ?

A
1
B
negative 3
C
negative 2
D
4
10

Which functions represent a piece of the function? Choose three correct answers.

A
g of x is equal to x minus 2 , negative 2 is less than x comma x is less than 1
B
g of x is equal to negative 2 x , negative 2 is less than x comma x is less than 0
C
g of x is equal to negative 2 x plus 6 , x is greater than or equal to 1
D
g of x is equal to negative 2 , x is less than negative 2
E
g of x is equal to x over 2 plus 1 , negative 2 is less than or equal to x comma x is less than 1
11

What is the domain of f of x ?

A
start set x such that 1 is less than or equal to x comma x is less than or equal to 5 end set
B
start set x such that 1 is less than or equal to x comma x is less than 5 end set
C
start set y such that negative 4 is less than or equal to y comma y is less than or equal to 1 end set
D
start set y such that negative 4 is less than or equal to y comma y is less than 1 end set
12

What is the value of g of 0 ?

A
negative 1
B
6
C
3
D
negative 2
13

What is the range of f of x ?

A
start set x such that negative 2 is less than or equal to x comma x is less than 4 end set
B
start set x such that negative 2 is less than x comma x is less than or equal to 4 end set
C
start set y such that negative 5 is less than y comma y is less than negative 1 end set
D
start set y such that negative 5 is less than or equal to y comma y is less than or equal to negative 1 end set
14

Which statements describe the domain and range of g of x ? Choose two correct answers.

A
The maximum value of the domain is 3 .
B
The maximum value of the range is 4 .
C
The range of g of x is start set y such that negative 1 is less than y comma y is less than or equal to 4 end set .
D
The domain of g of x is start set x such that negative 4 is less than or equal to x comma x is less than or equal to 3 end set .
E
The function g of x is defined for all real numbers x .
15

What is the value of g of 3 ?

A
9
B
3
C
2
D
14
16

Which set describes the domain of P of h ?

A
start set h such that 0 is less than or equal to h comma h is less than or equal to 60 end set
B
start set h such that 0 is less than or equal to h comma h is less than or equal to 40 end set
C
start set P of h such that 0 is less than or equal to P of h comma P of h is less than or equal to 1,800 end set
D
start set P of h such that 0 is less than or equal to P of h comma P of h is less than or equal to 1,400 end set
17

What is the range of f of x ?

A
start set f of x such that 4 is less than f of x comma f of x is less than infinity end set
B
start set f of x such that negative infinity is less than f of x comma f of x is less than infinity end set
C
start set f of x such that negative infinity is less than f of x comma f of x is less than or equal to 4 end set
D
start set f of x such that 0 is less than or equal to f of x comma f of x is less than infinity end set
18

What is the range of h of x ?

A
h of x is greater than or equal to 3
B
h of x is greater than or equal to 5
C
negative infinity is less than h of x comma h of x is less than infinity
D
h of x is less than or equal to 5
19

What is the value of x when h of x is equal to negative 3 ?

A
0
B
negative 1
C
negative 7
D
2
20

What is the value of h of 2 ?

A
0
B
negative 2
C
negative 1
D
3

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