Question

If f' = 2, what does "draw three possible graphs at x" instruct?

A) Sketch three graphs of f
B) Plot three points on f
C) Graph the inverse of f
D) Determine the critical points of f

Answer 1

To 'draw three possible graphs at x' means sketching three different graphs that represent the function f at different points on the x-axis. The slope of the graphs should be constant and equal to 2. You can vary the y-intercepts or positions on the x-axis to create these graphs.

Step-by-step explanation:

The instruction to 'draw three possible graphs at x' means that you need to sketch three different graphs that represent the function f at different points on the x-axis. Since f' = 2, it means that the slope of the function is constant and equal to 2. Therefore, you can sketch three graphs with a constant slope of 2, but varying y-intercepts or positions on the x-axis.

For example, you could sketch one graph with a y-intercept of 0, another graph with a y-intercept of -1, and a third graph with a y-intercept of 1. These graphs will all have a slope of 2 but will be shifted vertically along the y-axis.

Remember to label the x and y-axes, indicate the scales, and add any necessary annotations or labels to make the graphs clear and understandable.