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a. X-intercepts are roots. If the function equals 0, that means that one of the three factors is zero. The values that would make one of the factors zero are:
x = -1, 1, 7
b. The y-intercept occurs when x=0 (that's where the y-axis is, right?). Setting x = 0, we have f(0) = (1)(-7)(-1) = 7.
y-int = 7
c. End behavior happens when x is very big or very negative: think about this: f(big) = (big+1)(big-7)(big-1). This is basically the product of three big numbers, which is a big number itself!
But what about when x is very negative? f(neg) = (neg+1)(neg-7)(neg-1). This is just the product of three big negative numbers, which is a big negative number itself (neg*neg*neg=neg).
So end behavior is:
d. Graph by plotting the above info, and you have
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