Question
uate Linear Functions ore: \( 1 / 5 \quad \) Penalty: none Question Given \( h(x)=-2 x-4 \), find \( h(2) \).
Ask by Brooks Mullins. in the United States
Jan 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( h(2) = -8 \)
Solution
To find \( h(2) \) for the linear function \( h(x) = -2x - 4 \), follow these steps:
1. **Substitute \( x = 2 \) into the function:**
\[
h(2) = -2(2) - 4
\]
2. **Perform the multiplication:**
\[
-2 \times 2 = -4
\]
So,
\[
h(2) = -4 - 4
\]
3. **Subtract the numbers:**
\[
-4 - 4 = -8
\]
**Final Answer:**
\[
h(2) = -8
\]
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Simplify this solution Mind Expander
To find \( h(2) \), simply plug \( 2 \) into the function \( h(x) = -2x - 4 \). So, \( h(2) = -2(2) - 4 = -4 - 4 = -8 \). Linear functions are like straight lines on a graph! In this case, the slope is -2, which means for every 1 unit you move to the right, you move down 2 units. The y-intercept here is -4, which is where the line crosses the y-axis. So, when you graph this function, it will slope downwards as you move to the right!
