If f(x)=10x, what are the coordinates for the y-intercept of f(x)+3?


The function given is \( f(x) = 10x \). When we modify it to \( f(x) + 3 \), the new function becomes:

\[
f(x) + 3 = 10x + 3
\]

The **y-intercept** occurs when \( x = 0 \), so we substitute \( x = 0 \) into the equation:

\[
f(0) + 3 = 10(0) + 3 = 3
\]

Thus, the coordinates for the y-intercept are:

\[
(0, 3)
\]

Would you like further details or have any questions?

### Related Questions:
1. What are the coordinates for the x-intercept of \( f(x) + 3 \)?
2. How would the y-intercept change if \( f(x) = 5x + 2 \)?
3. What is the slope of the function \( f(x) + 3 \)?
4. What are the y-intercepts for \( f(x) - 3 \)?
5. How does adding a constant affect the graph of a linear function?

### Tip:
The y-intercept always occurs where \( x = 0 \) in any function.

If f(x)=10x, what are the coordinates for the y-intercept of f(x)+3?

Learn how to find the y-intercept of the linear function f(x) = 10x + 3. This problem demonstrates key concepts in algebra, including the y-intercept formula, and is suitable for students in Grades 6-8.

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