trentdhall56
11.02.2020 •
Mathematics
Find the following for the function
f(x)equals=left parenthesis x plus 6 right parenthesis squared left parenthesis x minus 2 right parenthesis squared(x+6)2(x−2)2.
(a) Find the x- and y-intercepts of the polynomial function f.
(b) Determine whether the graph of f crosses or touches thex-axis at each x-intercept.
(c) Find the power function that the graph of f resembles for large values of StartAbsoluteValue x EndAbsoluteValue .x.
(d) Determine the maximum number of turning points on the graph of f.
(e) Determine the behavior of the graph of f near eachx-intercept.
(f) Put all the information together to obtain the graph of f.
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Ответ:
answer:
#1: Option A, 12 - (2^2 * 3)
#2: Option B, 2x + 8
#3: Option A, n + m + m + m + n + n and 3(m + n)
#4: Option B, 4(3x + y)
Step-by-step explanation:
#1: Difference of 12 and the product of 2 squared and 3
12 - (2^2 * 3)
answer: Option A, 12 - (2^2 * 3)
#2: Distribute 2(x + 4)
2(x + 4)
2x + 8
answer: Option B, 2x + 8
#3: Which is equivalant
n + m + m + m + n + n and 3(m + n)
3n + 3m
3(n + m) or 3(m + n)
answer: Option A, n + m + m + m + n + n and 3(m + n)
#4: 8x + 4x + y + 3y
Combine like terms
12x + 4y
4(3x + y)
answer: Option B, 4(3x + y)