Math Problem Statement

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

Solution

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

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

  2. Multiply 2-2 by 3-3: 2×3=6-2 \times -3 = 6

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

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

Would you like more details or have any questions?

Here are some related questions:

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

Tip: When dealing with linear functions like f(x)=2x+5f(x) = -2x + 5, the slope (the coefficient of xx) 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Functions
Function Evaluation

Formulas

-

Theorems

-

Suitable Grade Level

Grades 7-9