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Question 1: (a) For the following polynomial function: $f(x) = (x - 1)^3(x + 2)^2(x + 4)$ (i) List each real zero and its multiplicity. (ii) Determine whether the graph crosses or touches the x-axis at each x-intercept. (iii) Determine the maximum number of turning points on the graph. (iv) Determine the end behavior. (b) Construct a polynomial function f with the given characteristics: (i) Zeros: -4, -1, 2; degree 3 (ii) y-intercept is 16

          Question 1: (a) For the following polynomial function:
$f(x) = (x - 1)^3(x + 2)^2(x + 4)$
(i) List each real zero and its multiplicity.
(ii) Determine whether the graph crosses or touches the x-axis at each x-intercept.
(iii) Determine the maximum number of turning points on the graph.
(iv) Determine the end behavior.
(b) Construct a polynomial function f with the given characteristics:
(i) Zeros: -4, -1, 2; degree 3
(ii) y-intercept is 16

Question 1: (a) For the following polynomial function:
f(x) = (x - 1)^3(x + 2)^2(x + 4)
(i) List each real zero and its multiplicity.
(ii) Determine whether the graph crosses or touches the x-axis at each x-intercept.
(iii) Determine the maximum number of turning points on the graph.
(iv) Determine the end behavior.
(b) Construct a polynomial function f with the given characteristics:
(i) Zeros: -4, -1, 2; degree 3
(ii) y-intercept is 16

Added by Matthew R.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Teresa Fuston

11/30/2021

Step 1

Step 1:** The real zeros of the polynomial function are: - $ x = 1 $ with multiplicity 3 - $ x = -2 $ with multiplicity 2 - $ x = -4 $ with multiplicity 1 ** Show more…

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Question 1: (a) For the following polynomial function: f(x) = (x - 1)^3(x + 2)^2(x + 4) (i) List each real zero and its multiplicity. (ii) Determine whether the graph crosses or touches the x-axis at each x-intercept. (iii) Determine the maximum number of turning points on the graph. (iv) Determine the end behavior. (b) Construct a polynomial function f with the given characteristics: (i) Zeros: - 4, - 1, 2; degree 3 (ii) y-intercept is 16