Use the following information to answer the next Question. The graph.pdf
0 likes14 views
The document describes four polynomial function graphs and provides matching answers to specific characteristics of these graphs. It identifies graph 1 as having a negative leading coefficient, graph 2 as having two different zeros each with multiplicity 2, and graph 4 as representing a degree 5 function. The explanations cover how the behavior at the x-axis confirms the properties of these polynomials.
1 of 1
Download to read offline
Use the following information to answer the next Question. The graph.pdf
- 1. Use the following information to answer the next Question. The graphs of four polynomial functions are shown below. Match three of the graphs numbered above with a statement below that best describes the function. The graph that has a negative leading coefficient is graph number___, The graph of a function that has two different zeros, each with multiplicity 2, is graph number ___ The graph that could be a degree 5 function is graph number ___. Solution 7. i) Graph with -ve leading coefficient : odd-degree polynomials have ends that head off in opposite directions. If they start "down" (entering the graphing "box" through the "bottom") and go "up" (leaving the graphing "box" through the "top"), they're positive polynomials; if they start "up" and go "down", they're negative polynomials. So, option graph 1 ii) Graph with two different zeros with multipicity 2 will have graph touching x axis at two points.It will not cut x axis Graph 2 iii) Graph with degree 5 i.e. odd degree Graph 4 cuts the axis at 3 points and it touches the x axis at 1 point ( root with multiplicity 2) : 3 +2 = degree 5