Write a function f(x) that has the given characteristics. f(-6) = f(8) = 0; f'(1) = 0; f'(x) < 0 for x < 1; Select the graph that has the given characteristics. f'(x) > 0 for x > 1 Step 1 We want to find a function that has zeros at x = -6 and x = 8. Recall that for a polynomial function f(x), f(c) = 0 if and only if (x - c) is a factor of the polynomial. So we can state that (x-(-6)) and (x - ])) are factors of the function we are seeking. One possible function with the stated zeros is given by the formula below. f(x) = a (x + 6)(x − ( [
Write a function f(x) that has the given characteristics. f(-6) = f(8) = 0; f'(1) = 0; f'(x) < 0 for x < 1; Select the graph that has the given characteristics. f'(x) > 0 for x > 1 Step 1 We want to find a function that has zeros at x = -6 and x = 8. Recall that for a polynomial function f(x), f(c) = 0 if and only if (x - c) is a factor of the polynomial. So we can state that (x-(-6)) and (x - ])) are factors of the function we are seeking. One possible function with the stated zeros is given by the formula below. f(x) = a (x + 6)(x − ( [
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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![Write a function f(x) that has the given characteristics.
f(-6) = f(8) = 0; f(1) = 0; f'(x) < 0 for x < 1; f'(x) > 0 for x > 1
Select the graph that has the given characteristics.
Step 1
We want to find a function that has zeros at x = -6 and x = 8. Recall that for a polynomial function f(x), f(c) = 0 if and only if (x - c) is a factor of the polynomial. So
are factors of the function we are seeking. One possible function with the stated zeros is given by the
we can state that (x - (-6)) and (x
formula below.
6)(x - (1
f(x)= a(x + 6)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03b8de10-db72-4871-992f-83fe241163fb%2F8decd98c-06d8-45b1-ad30-e234d94defef%2Frt9n0n7_processed.png&w=3840&q=75)
Transcribed Image Text:Write a function f(x) that has the given characteristics.
f(-6) = f(8) = 0; f(1) = 0; f'(x) < 0 for x < 1; f'(x) > 0 for x > 1
Select the graph that has the given characteristics.
Step 1
We want to find a function that has zeros at x = -6 and x = 8. Recall that for a polynomial function f(x), f(c) = 0 if and only if (x - c) is a factor of the polynomial. So
are factors of the function we are seeking. One possible function with the stated zeros is given by the
we can state that (x - (-6)) and (x
formula below.
6)(x - (1
f(x)= a(x + 6)
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