Math Problem Statement

f(x)=2x+1 f(0)

Solution

To evaluate f(0)f(0) for the function f(x)=2x+1f(x) = 2x + 1, simply substitute x=0x = 0 into the function:

f(0)=2(0)+1=0+1=1f(0) = 2(0) + 1 = 0 + 1 = 1

So, f(0)=1f(0) = 1.

Would you like further details or explanations on this?

Here are some related questions to expand your understanding:

  1. What is f(1)f(1) for the same function?
  2. How does the slope of f(x)=2x+1f(x) = 2x + 1 influence the graph of the function?
  3. Can you find the value of f(3)f(-3)?
  4. How would you find the x-intercept of the function f(x)=2x+1f(x) = 2x + 1?
  5. What does the function f(x)=2x+1f(x) = 2x + 1 represent graphically?

Tip: The constant in a linear function f(x)=mx+bf(x) = mx + b represents the y-intercept, the point where the line crosses the y-axis.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

Linear function: f(x) = mx + b
Evaluation of f(a): f(a) = m(a) + b

Theorems

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Suitable Grade Level

Grades 6-8