7. Plot the graph of h7 on [-10,10] to verify your conjecture. What do you observe?
7. Plot the graph of h7 on [-10,10] to verify your conjecture. What do you observe?
Due to the symmetry in both x^2 and Cos[x], the symmetry is retained about the y-axis. On each side, we see a local maximum at the axis followed by a local minimum between 2 and 3, followed by a couple of inflection points but not other extreme values.
Input := h7[x_] = f[x] + 7 g[x];
Input :=
Plot[h7[x], {x, -10, 10},
PlotRange -> {0, 100}]
Output = -Graphics-