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

Write your response as an ordered pair. Do not include any spaces aswer

The y-intercept occurs when \(x = 0\).

For the function \(f(x) + 3 = 10x + 3\), substitute \(x = 0\):

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

Thus, the coordinates of the y-intercept are \((0,3)\).

Answer: **(0,3)**

Do you want more details or have any questions?

Here are 5 related questions:
1. What is the slope of the function \(f(x) + 3\)?
2. How would the graph of \(f(x) + 3\) look compared to \(f(x) = 10x\)?
3. What are the coordinates of the y-intercept for \(f(x) - 5\)?
4. How does shifting a graph vertically affect its y-intercept?
5. What are the x-intercepts of \(f(x) + 3 = 0\)?

**Tip:** The y-intercept is always found by setting \(x = 0\) and solving for \(y\).

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

Understand how to find the y-intercept of the linear function f(x) = 10x + 3. This example covers the concept of y-intercepts in linear equations and graph shifting, and it is ideal for students in Grades 6-8.

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