Math Problem Statement

The y-intercept of the graph 2 () 6 x fx c + = + is

Solution

The equation you're working with appears to be in the form:

f(x)=2x+6f(x) = 2x + 6

Here, f(x)=2x+6f(x) = 2x + 6, and you are interested in finding the y-intercept.

To find the y-intercept:

The y-intercept occurs where x=0x = 0, meaning you substitute x=0x = 0 into the function:

f(0)=2(0)+6=6f(0) = 2(0) + 6 = 6

Thus, the y-intercept is 66. This means the graph crosses the y-axis at (0,6)(0, 6).


Would you like a more detailed explanation, or do you have any questions about this? Here are some related topics to explore:

  1. How to find the y-intercept of a quadratic function.
  2. What does the slope represent in a linear function?
  3. The significance of the slope and y-intercept in real-world applications.
  4. How to graph a linear function from its equation.
  5. How to find the equation of a line given a point and the slope.

Tip: To quickly find the y-intercept of any function, simply substitute x=0x = 0 into the equation.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Y-intercept
Algebra

Formulas

f(x) = mx + b
y-intercept = f(0)

Theorems

Linear Function Theorem

Suitable Grade Level

Grades 7-9