Math Problem Statement

Use the following function rule to find f(1). f(x) = -7x.

Solution

The function provided is f(x)=7xf(x) = -7x. To find f(1)f(1), substitute x=1x = 1 into the function:

f(1)=7(1)=7f(1) = -7(1) = -7

Thus, f(1)=7f(1) = -7.

Would you like more details, or do you have any questions?

Here are some related questions to expand your understanding:

  1. What would f(2)f(2) be using the same function rule?
  2. How would you find f(x)f(x) for a general value of xx?
  3. What kind of function is f(x)=7xf(x) = -7x (linear, quadratic, etc.)?
  4. How does the slope of this linear function affect the graph?
  5. What is the value of f(1)f(-1) in this function?

Tip: Linear functions like f(x)=7xf(x) = -7x have a constant rate of change, which is represented by the slope (in this case, 7-7).

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

f(x) = -7x

Theorems

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Suitable Grade Level

Grades 6-8