Final answer:
To find the slope of the secant line connecting the points (0,3) and (2,11), calculate the difference in y-values divided by the difference in x-values, which results in a slope of 4.
Step-by-step explanation:
The student is asked to calculate the slope of the secant line for the function f(x) = x³ + 3 between the points (0,3) and (2, 11). The slope is defined as the change in the y-coordinates divided by the change in the x-coordinates, also known as 'rise over run'. To find the slope of the secant line, you subtract the y-coordinate of the first point from the y-coordinate of the second point and divide by the subtraction of the x-coordinate of the first point from the x-coordinate of the second point.
Here, the calculation would be the following: Slope(m) = (y2 - y1) / (x2 - x1) = (11 - 3) / (2 - 0) = 8 / 2 = 4. Therefore, the slope of the secant line connecting the points (0,3) and (2,11) is 4.