Question

Function \[1\] is defined by the following table. \[r\] \[y\] \[0\] \[1\] \[1\] \[-2.5\] \[2\] \[-6\] \[3\] \[-9.5\] Function \[2\] is defined by line \[\blueD{f}\]. graph \[\small{2}\] \[\small{4}\] \[\small{6}\] \[\small{8}\] \[\small{\llap{-}4}\] \[\small{\llap{-}6}\] \[\small{\llap{-}8}\] \[\small{2}\] \[\small{4}\] \[\small{6}\] \[\small{8}\] \[\small{\llap{-}4}\] \[\small{\llap{-}6}\] \[\small{\llap{-}8}\] \[\blueD{f}\] \[y\] \[r\] Which function has a greater \[y\]-intercept? Choose 1 answer: Choose 1 answer: (Choice A) Function \[1\] A Function \[1\] (Choice B) Function \[2\] B Function \[2\] (Choice C) The functions have the same \[y\]-intercept. C The functions have the same \[y\]-intercept.

Answer 1

Function 2 has a greater y-intercept than Function 1.

To determine which function has a greater y-intercept, we need to analyze the given functions and their y-intercepts.

The given functions are:

Function 1: r, y

0, 1

1, -2.5

2, -6

3, -9.5

Function 2: f, y

2, 4

4, 6

6, 8

8, -4

-4, -6

-6, -8

To find the y-intercept of each function, we need to identify the point where the graph of the function crosses the y-axis. The y-intercept is the point where the x-coordinate is 0.

For Function 1, the y-intercept occurs when r = 0, and the corresponding y-value is 1. Therefore, the y-intercept of Function 1 is 1.

For Function 2, the y-intercept occurs when x = 0, and the corresponding y-value is 2. Therefore, the y-intercept of Function 2 is 2.

Therefore, Function 2 has a greater y-intercept than Function 1.

Complete question:

Function 1 is defined by the following table.

Function 1: r, y

0, 1

1, -2.5

2, -6

3, -9.5

Function 2: f, y

2, 4

4, 6

6, 8

8, -4

-4, -6

-6, -8

Which function has a greater \[y\]-intercept?

A Function \[1\] A Function \[1\]

B Function \[2\] B Function \[2\]

C The functions have the same \[y\]-intercept.

D. Function 2 has a greater y-intercept than Function 1.