Math Problem Statement

Find the​ y-intercept by setting x equal to 0 and computing​ f(0).

Solution

To find the y-intercept of a function f(x)f(x), follow these steps:

  1. Set x=0x = 0 in the given function f(x)f(x).
  2. Compute f(0)f(0), which is the value of the function when x=0x = 0.

For example, if the function is:

f(x)=ax2+bx+cf(x) = ax^2 + bx + c

then substituting x=0x = 0:

f(0)=a(0)2+b(0)+c=cf(0) = a(0)^2 + b(0) + c = c

The y-intercept is (0,f(0))(0, f(0)).

If you provide the specific function f(x)f(x), I can compute the y-intercept for you.


Would you like to provide a specific function or have further details?
Here are 5 related questions to expand your understanding:

  1. How do y-intercepts differ in linear vs. quadratic functions?
  2. Can a function have more than one y-intercept?
  3. What is the relationship between y-intercepts and graph symmetry?
  4. How are y-intercepts calculated for piecewise functions?
  5. How do you interpret the y-intercept in real-world problems?

Tip: The y-intercept is often the starting point when graphing a function—it gives a quick insight into the function's behavior!

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Intercepts

Formulas

f(0): Evaluate the function at x = 0 to find the y-intercept

Theorems

Concept of Function Evaluation
Y-Intercept Property

Suitable Grade Level

Grades 8-10