The y-intercept of a function is the point where the graph intersects the y-axis. This occurs when the value of x is zero.
To find the y-intercept for the function f(x) = 4 + 5x, we substitute x with 0:
f(0) = 4 + 5(0)
This simplifies to:
f(0) = 4 + 0 = 4
Therefore, the y-intercept is the point (0, 4).
So, when you plot the function on a coordinate system, you will see that it crosses the y-axis at the value 4. This means that no matter how the rest of the function behaves, when x is zero, y will always be 4.
In summary, the y-intercept of the function f(x) = 4 + 5x is (0, 4).