The graph of the function f(x) = 4x + 12 is a straight line with a slope of 4 and a y-intercept of (0, 12). This means that the line passes through the point (0, 12) on the y-axis and has a slope of 4, which means that for every unit increase in x, the y-coordinate increases by 4 units.
The graph extends infinitely in both directions along the x and y-axes, forming a line that has a positive slope and passes through the point (0, 12). It is a linear function, meaning that the relationship between x and y is represented by a straight line.
When graphed on a coordinate plane, the line representing f(x) = 4x + 12 will have a positive slope, and will rise as x increases. The line will intersect the y-axis at the point (0, 12) and continue upwards towards the positive y-direction.
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