Question

Which of the following are ordered pairs for the given function?

Select all that apply.

f(x) = 1 + x

(1, 0)
(0, 1)
(3, 3)
(0, 2)
(1, 2)

Answer 1

To determine which of the given ordered pairs are correct for the function \( f(x) = 1 + x \), we need to calculate \( f(x) \) for the x-values in each ordered pair and see if they match the corresponding y-values.

1. For \( (1, 0) \):
\[
f(1) = 1 + 1 = 2 \quad \Rightarrow \quad \text{not } (1, 0)
\]

2. For \( (0, 1) \):
\[
f(0) = 1 + 0 = 1 \quad \Rightarrow \quad \text{is } (0, 1)
\]

3. For \( (3, 3) \):
\[
f(3) = 1 + 3 = 4 \quad \Rightarrow \quad \text{not } (3, 3)
\]

4. For \( (0, 2) \):
\[
f(0) = 1 + 0 = 1 \quad \Rightarrow \quad \text{not } (0, 2)
\]

5. For \( (1, 2) \):
\[
f(1) = 1 + 1 = 2 \quad \Rightarrow \quad \text{is } (1, 2)
\]

The correct ordered pairs for the function \( f(x) = 1 + x \) are:

- \( (0, 1) \)
- \( (1, 2) \)

So, the selected pairs are:
- \( (0, 1) \)
- \( (1, 2) \)