Question

Use the image to answer the question.

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


Function 2:

A diagonal line connects two data points on a coordinate plane.
▼Click for Long Desc
Both the x and y axes range from negative 10 to 10 in unit increments. A line with arrows at both ends passes through the coordinates left parenthesis negative 1 comma 2 right parenthesis and left parenthesis 1 comma negative 6 right parenthesis.

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

(1 point)

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

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

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

Function 1: (−1,0)
; Function 2: (−1,0)
. They have identical values.

Answer 1

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

Work: f1(0)=4(0)+2=2. Line through (−1,2) and (1,−6) has slope −4, so y = −4x + b; using (1,−6) gives b = −2.