3. The figure on the right shows the graph of y=f(x), where a degree 3 polynomial function. (a) Use the information obtained from the graph below, determine the equation of the polynomial functions that can be represented by this graph. 5 4 3 2 1 -1 0 1 2 18- -1 N (b) By adding a suitable straight line to the figure, or otherwise, solve the equation f(x)=2. (Round your answers to 1 decimal places if needed.) (c) From the figure, find the range of values of k such that the equation f(x)=k has three distinct real roots. 3 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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PLs help ASAP. Pls show all work and steps. Pls circle the final answer also.

3. The figure on the right shows the graph of y=f(x), where
a degree 3 polynomial function.
(a) Use the information obtained from the graph below, determine
the equation of the polynomial functions that can be
represented by this graph.
5
4
3
2
1
-1
0
1
2
18-
-1
N
(b) By adding a suitable straight line to the figure, or otherwise, solve the equation f(x)=2.
(Round your answers to 1 decimal places if needed.)
(c) From the figure, find the range of values of k such that the equation f(x)=k has three distinct
real roots.
3
4
Transcribed Image Text:3. The figure on the right shows the graph of y=f(x), where a degree 3 polynomial function. (a) Use the information obtained from the graph below, determine the equation of the polynomial functions that can be represented by this graph. 5 4 3 2 1 -1 0 1 2 18- -1 N (b) By adding a suitable straight line to the figure, or otherwise, solve the equation f(x)=2. (Round your answers to 1 decimal places if needed.) (c) From the figure, find the range of values of k such that the equation f(x)=k has three distinct real roots. 3 4
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