Question

Compare the two functions and identify the y-values of the y-intercepts. Which function has the smaller value? (1 point) Responses 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: (−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: (−1,0) ; Function 2: (−1,0) . They have identical values.

Answer 1

To compare the y-intercepts of the two functions given, we look at the points where each function crosses the y-axis, which are represented by their y-values at \(x = 0\).

- **Function 1:** (0, 2) → The y-value is 2.
- **Function 2:** (0, −2) → The y-value is -2.

Now, comparing the y-values:

- Function 1 has a y-value of 2.
- Function 2 has a y-value of -2.

Since -2 is less than 2, **Function 2 has the smaller value.**

Thus, the correct answer is:
**Function 2 has the smaller value.**