At which root does the graph of f(x) = (x + 4)6(x + 7)5 cross the x axis?
a. –7
b. –4
c. 4
d. 7

When graphing polynomial functions you need to look at the power.

If the power is even, the graph will TOUCH the x axis but not pass through the axis. If the power is odd, the graph will pass through the axis.
at x = -4 the power is even so the graph TOUCHES.
at x = -7 the power is odd so the graph CROSSES.
LETTER A

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.