tiny-tim said:Hi Michael!
Draw the graph … what does it look like?
tiny-tim said:
The domain of f(x) is all real numbers less than or equal to c, as stated in the given information.
The range of f(x) is all real numbers, as the function is a polynomial and therefore has no restrictions on its output.
The y-intercept of f(x) can be found by setting x equal to 0 and solving for y. In this case, the y-intercept is (0,-3).
Yes, the function f(x) is continuous at x=c as it is defined for all real numbers less than or equal to c and there are no breaks or jumps in the graph.
The given function represents a polynomial with a degree of 2, which means it is a parabola. For x ≤ c, the parabola will have a vertex at the point (c, f(c)), and the graph will be decreasing for all x values less than c. This can be helpful in understanding the behavior of the function and predicting its values for x values less than c.