Question

Given the function f(x)=x2+x−2
what are the values for the following.(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
f(2) = Response area

f(5) = Response area

f(-4) = Response area

f(0) = Response area

Answer 1

To find the values of the function \( f(x) = x^2 + x - 2 \) for the given inputs, we will substitute each value into the function.

1. **For \( f(2) \)**:
\[
f(2) = 2^2 + 2 - 2 = 4 + 2 - 2 = 4
\]

2. **For \( f(5) \)**:
\[
f(5) = 5^2 + 5 - 2 = 25 + 5 - 2 = 28
\]

3. **For \( f(-4) \)**:
\[
f(-4) = (-4)^2 + (-4) - 2 = 16 - 4 - 2 = 10
\]

4. **For \( f(0) \)**:
\[
f(0) = 0^2 + 0 - 2 = 0 + 0 - 2 = -2
\]

Now, placing these values in the response areas:

- \( f(2) = 4 \)
- \( f(5) = 28 \)
- \( f(-4) = 10 \)
- \( f(0) = -2 \)

Make sure to enter these values in their respective input fields.