Question
Grand theft function f of x equals -3x - 5
Answers
GPT-4o mini
It seems you are referring to a function notation, specifically \( f(x) = -3x - 5 \). If you're asking to analyze or manipulate this function, here are a few things we can do:
1. **Identify the function type**: This is a linear function because it can be written in the form \( f(x) = mx + b \), where \( m = -3 \) (the slope) and \( b = -5 \) (the y-intercept).
2. **Graph the function**: The y-intercept is at the point (0, -5), and the slope of -3 means that for every 1 unit increase in \( x \), \( f(x) \) decreases by 3 units.
3. **Find the x-intercept**: To determine where the function crosses the x-axis, set \( f(x) = 0 \):
\[
-3x - 5 = 0
\]
Solving for \( x \):
\[
-3x = 5 \\
x = -\frac{5}{3}
\]
Therefore, the x-intercept is at \( \left(-\frac{5}{3}, 0\right) \).
4. **Evaluate the function**: You can compute \( f(x) \) for any value of \( x \). For example:
- If \( x = 1 \):
\[
f(1) = -3(1) - 5 = -3 - 5 = -8
\]
If you're looking for something specific related to this function (such as transformations, derivatives, or applications), please clarify!
1. **Identify the function type**: This is a linear function because it can be written in the form \( f(x) = mx + b \), where \( m = -3 \) (the slope) and \( b = -5 \) (the y-intercept).
2. **Graph the function**: The y-intercept is at the point (0, -5), and the slope of -3 means that for every 1 unit increase in \( x \), \( f(x) \) decreases by 3 units.
3. **Find the x-intercept**: To determine where the function crosses the x-axis, set \( f(x) = 0 \):
\[
-3x - 5 = 0
\]
Solving for \( x \):
\[
-3x = 5 \\
x = -\frac{5}{3}
\]
Therefore, the x-intercept is at \( \left(-\frac{5}{3}, 0\right) \).
4. **Evaluate the function**: You can compute \( f(x) \) for any value of \( x \). For example:
- If \( x = 1 \):
\[
f(1) = -3(1) - 5 = -3 - 5 = -8
\]
If you're looking for something specific related to this function (such as transformations, derivatives, or applications), please clarify!