What is the value of f(-3) for the function f(x) = -2x + 5?


To evaluate the function \( f(x) = -2x + 5 \) for \( x = -3 \), follow these steps:

1. Substitute \( x = -3 \) into the function:
   \[
   f(-3) = -2(-3) + 5
   \]

2. Multiply \(-2\) by \(-3\):
   \[
   -2 \times -3 = 6
   \]

3. Add 5:
   \[
   f(-3) = 6 + 5 = 11
   \]

So, \( f(-3) = 11 \).

Would you like more details or have any questions?

Here are some related questions:

1. What is the value of \( f(0) \) for the function \( f(x) = -2x + 5 \)?
2. What is the slope of the function \( f(x) = -2x + 5 \)?
3. How does the graph of \( f(x) = -2x + 5 \) look?
4. What is the y-intercept of the function \( f(x) = -2x + 5 \)?
5. How would the function change if the slope were \( -3 \) instead of \( -2 \)?

**Tip:** When dealing with linear functions like \( f(x) = -2x + 5 \), the slope (the coefficient of \( x \)) determines how steep the line is, and the constant term (5 in this case) is the y-intercept, the point where the line crosses the y-axis.

Learn how to evaluate f(-3) for the function f(x) = -2x + 5 with a step-by-step solution. Understand the concept of linear functions and function evaluation. Suitable for students in Grades 7-9.

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