The function you provided is a linear equation in the slope-intercept form, which is expressed as y = mx + b. In this equation, m represents the slope of the line, and b represents the y-intercept.
For the function f(x) = 4x + 12, we can identify the values directly:
- Slope (m): 4
- Y-intercept (b): 12
The y-intercept is the point where the graph of the function crosses the y-axis. This occurs when the value of x is 0.
To find the y-intercept, substitute x = 0 into the function:
f(0) = 4(0) + 12 = 12Therefore, the y-intercept of the graph of the function f(x) = 4x + 12 is (0, 12). This means that the graph will cross the y-axis at the point 12.
In summary, the y-intercept of the function f(x) = 4x + 12 is 12, which can be represented as the coordinate point (0, 12) on the graph.