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A9: Ferris Wheel Graphs of sine and cosine
Alyssa Banuelos-Rogers
Function #1: sine
We measure the angle that the radius makes with the
positive x-axis (the shaded region). Call this angle (a
Greek letter, pronounced THEY-ta).
This means that when the red point is furthest to the
right, is zero degrees.
Determine the values of the angle when the red point
is at the top of the circle, furthest to the left, and at the
bottom of the circle. Enter your answers below:
separate your answers by commas.
1. What is the height at the top of the circle?
Submit

yes

step-by-step explanation:

yes

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb

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sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.