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


The function you provided is \( f(x) = 10x \), and you are asked to find the coordinates of the y-intercept of \( f(x) + 3 \).

The y-intercept occurs when \( x = 0 \). To find the y-intercept, follow these steps:

1. First, calculate \( f(0) \) for the original function \( f(x) = 10x \):
   \[
   f(0) = 10(0) = 0
   \]

2. Now, add 3 to the result, since you're considering \( f(x) + 3 \):
   \[
   f(0) + 3 = 0 + 3 = 3
   \]

Therefore, the y-intercept is at the point \( (0, 3) \).

**Summary**: The coordinates of the y-intercept are \( (0, 3) \).

Would you like more details or have any questions about this process?

Here are five related questions:
1. What is the slope of the function \( f(x) = 10x + 3 \)?
2. How do you find the x-intercept of a linear function?
3. What happens to the graph if you change the 3 in \( f(x) + 3 \) to another number?
4. Can you explain how to graph the function \( f(x) + 3 \)?
5. How would the y-intercept change if the function was \( f(x) = 10x - 5 \)?

**Tip**: The y-intercept always occurs where \( x = 0 \) for 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 function f(x) = 10x + 3. This solution explains key algebra concepts, including how to calculate the y-intercept for linear functions by evaluating the function when x = 0. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation