AnswersAlgebra ILinear Piecewise Defined Functions

Linear Piecewise Defined Functions — Quiz Answers

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1
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What is the value of h of 3 ?

A
1
B
2
C
negative 2
D
negative 1
2
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Which functions represent a piece of the function? Choose three correct answers.

A
g of x is equal to negative 2 x , negative 2 is less than x comma x is less than 0
B
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
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 minus 2 , negative 2 is less than x comma x is less than 1
3

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]

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
5
B
4
C
negative 6
D
negative 7
5

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
4
B
1
C
negative 2
D
negative 3
6

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

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 A coordinate plane has both the x and y axes labeled from negative 5 to 5 in increments of 1, with a piecewise function featuring 2 line segments. The first line segment decreases from the point negative 3 comma 4 down to an open circle at negative 1 comma 0. The second line segment has a closed circle at 1 comma 0 and increases to the point 3 comma 4.
B
Image with description A coordinate plane with a V-shaped graph. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 6 to 5 in increments of 1. The graph has its vertex at the point 0 comma 0 at the origin. From the vertex, one ray extends upward to the left with a steep negative slope, passing through approximately negative 1 comma 3. A second ray extends downward to the right with a steep negative slope, passing through approximately 1 comma negative 4.
C
Image with description A coordinate plane with a piecewise function consisting of two line segments and a point. The x and y axes are labeled from negative 5 to 5 in increments of 1. The first line segment enters from the lower left, passes through the point negative 2, comma negative 5, and ends at an open circle at 0, comma negative 1. A closed circle is plotted at the point 0 comma 0. The second line segment begins at an open circle at 0 comma 1 and continues toward the lower right, passing through the point 2, comma negative 3.
D
Image with description A coordinate plane with a piecewise function consisting of two line segments and a point. The x and y axes are labeled from negative 5 to 5 in increments of 1. The first line segment enters from the left, passes through the point negative 1, comma negative 3, and ends at an open circle at 0, comma negative 1. A closed circle is plotted at the point 0 comma 0. The second line segment begins at an open circle at 0, comma 1 and continues toward the lower right, passing through the points 1, comma negative 1, and 2, comma negative 3.
8

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
(1, 0)
B
open paren 0 comma negative 3 close paren
C
(0, 0)
D
(3, 0)
9

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, '16'; Column 2, '85' Row 4: Column 1, '40'; Column 2, '75'
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, '40'; Column 2, '40' Row 4: Column 1, '200'; Column 2, '0'
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'
10

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 point 5 hours, the traveler is still moving farther from home.
E
At 2 hours, the traveler is 725 miles from home.

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