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

\[
f(0) = 2(0) + 1 = 0 + 1 = 1
\]

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

Would you like further details or explanations on this?

Here are some related questions to expand your understanding:
1. What is \( f(1) \) for the same function?
2. How does the slope of \( f(x) = 2x + 1 \) influence the graph of the function?
3. Can you find the value of \( f(-3) \)?
4. How would you find the x-intercept of the function \( f(x) = 2x + 1 \)?
5. What does the function \( f(x) = 2x + 1 \) represent graphically?

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

Learn how to evaluate f(0) for the linear function f(x) = 2x + 1. This step-by-step solution guides you through the process of substituting x = 0 into the function and simplifies it to find f(0) = 1. Suitable for students in Grades 6-8 learning basic algebra and function evaluation.

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