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Chapter 7: Q3. (page 350)

OPEN ENDED Sketch the graph of an odd-degree polynomial function with a negative leading coefficient and three real roots.

Short Answer

Expert verified

The graph is:

Step by step solution

Step 1. Given

An odd-degree polynomial function with a negative leading coefficient and three real roots.

Step 2. To determine

We have to sketch the graph.

Step 3. Calculation

An odd-degree polynomial functions whose leading coefficient is negative goes down on the right side and up on the left side.

Let the three real roots are $x = - 1, 0, 1$

So, the graph is:

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Most popular questions from this chapter

The number of cable TV systems after 1985 can be modeled by the function $C (t) = - 43.2 t^{2} + 1343 t + 790$ , where (t) represents the number of years since 1985. Describe the turning points of the graph and its end behaviour.

If $p (x) = 3 x^{2} - 2 x + 5 and r (x) = x^{3} + x + 1$ then find $3 [p (x^{2} - 1)] + 4 p (x)$ .

PATTERNS For Exercises 53–55, use the diagrams below that show the maximum number of regions formed by connecting points on a circle.

How many points would you have to connect to form 99 regions?

The graph of the polynomial function $f (x) = a x (x - 4) (x + 1)$ passes through the point $(5, 15)$ . For what value of x, $f (x) = 0$ .

State the degree and leading coefficient of polynomial $7 - x$ in one variable. If it is not a polynomial in one variable, explain why.

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OPEN ENDED Sketch the graph of an odd-degree polynomial function with a negative leading coefficient and three real roots.

Short Answer

Step by step solution

Step 1. Given

Step 2. To determine

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

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