Question

Question
In order to write the equation for a piecewise linear function shown on a graph, what do you need to determine?(1 point)
Responses

the equation of the single line segment over the domain of the function
the equation of the single line segment over the domain of the function

the equation of each linear segment and its corresponding range
the equation of each linear segment and its corresponding range

the equation of each linear segment and the interval for which it is applied
the equation of each linear segment and the interval for which it is applied

the minimum and maximum values of x
and y

Answer 1

Use the image to answer the question.

A coordinate plane's axes range from negative 5 to 5 by 1-unit increments. Two rays with closed endpoints and one line segment with two open endpoints are plotted.

Select the equation of the piecewise function shown in the graph.

(1 point)
Responses

y=⎧⎩⎨⎪⎪x+2, x<−1x+3, −1≤x≤1x+1, x>1
y equals left brace line 1 x plus 2, x is less than negative 1 line 2 x plus 3 comma negative 1 less than or equal to x less than or equal to 1 line 3 x plus 1 comma x greater than 1

y=⎧⎩⎨⎪⎪x+2, x≤−1x+3, −1<x<1x+1, x≥1
y equals left brace line 1 x plus 2, x is less than or equal to negative 1 line 2 x plus 3 comma negative 1 less than x less than 1 line 3 x plus 1 comma x greater than or equal to 1

y=⎧⎩⎨⎪⎪x+1, x≤−1x+2, −1<x<1x+3, x≥1
y equals left brace line 1 x plus 1, x is less than or equal to negative 1 line 2 x plus 2 comma negative 1 less than x less than 1 line 3 x plus 3 comma x greater than or equal to 1

y=⎧⎩⎨⎪⎪x+2, x≤1x+3, 2<x<4x+1, x≥2

Answer 2

To write the equation for a piecewise linear function shown on a graph, you need to determine:

**the equation of each linear segment and the interval for which it is applied.**

This option allows you to define each piece of the function with its respective equation and specify over which range of x-values that equation applies.