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Question

Function 1: f(x)=4x+2


Function 2:

A diagonal line connects two data points on a coordinate plane.

Compare the two functions and identify the y-values of the y-intercepts. Which function has the smaller value?

(1 point)
Responses

Function 1: (−2,0)
; Function 2: (2,0)
. Function 1 has the smaller value.
Function 1: left parenthesis negative 2 comma 0 right parenthesis ; Function 2: left parenthesis 2 comma 0 right parenthesis . Function 1 has the smaller value.

Function 1: (0,−2)
; Function 2: (0,2)
. Function 2 has the smaller value.
Function 1: left parenthesis 0 comma negative 2 right parenthesis ; Function 2: left parenthesis 0 comma 2 right parenthesis . Function 2 has the smaller value.

Function 1: (0,2)
; Function 2: (0,−2)
. Function 2 has the smaller value.
Function 1: left parenthesis 0 comma 2 right parenthesis ; Function 2: left parenthesis 0 comma negative 2 right parenthesis . Function 2 has the smaller value.

Function 1: (−1,0)
; Function 2: (−1,0)
. They have identical values.
Function 1: left parenthesis negative 1 comma 0 right parenthesis ; Function 2: left parenthesis negative 1 comma 0 right parenthesis . They have identical values.
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Answer 1

To find the y-intercepts of both functions, we will look at their equations.

Function 1: f(x) = 4x + 2

• The y-intercept occurs when x = 0.
• f(0) = 4(0) + 2 = 2.
• So, the y-intercept of Function 1 is (0, 2).

Function 2: A diagonal line connecting two data points

• Since the coordinates of the y-intercept for Function 2 are not provided explicitly, we need to identify them based on the given choices. Based on the choices, we see that one of the possible y-intercepts for Function 2 is (0, -2) which indicates that this function goes through (0, -2).

Now comparing the y-intercepts:

• Function 1 = (0, 2)
• Function 2 = (0, -2)

The y-value of Function 1 is 2, and the y-value of Function 2 is -2. Hence:

Function 1: (0, 2); Function 2: (0, -2). Function 2 has the smaller value.

So the correct response is:

Function 1: (0, 2); Function 2: (0, -2). Function 2 has the smaller value.