Chapter 4: Q. 14 (page 241)

Solve the inequality by using the graph of the function.
Solve $f (x) < 0$ , where
role="math" localid="1646231564659" $f (x) = - \frac{1}{2} (x + 4) (x - 1)^{3}$

Short Answer

Expert verified

The solution of the inequality is $(- \infty, - 4) \cup (1, \infty)$ .

Step by step solution

Step 1. Given Information

We are given a function,

$f (x) = - \frac{1}{2} (x + 4) (x - 1)^{3}$

Step 2. Graphing the function

The graph of the function is as follows,

Step 3. Solve the inequality

As seen from the graph, $f (x) < 0$ for the interval $(- \infty, - 4) \cup (1, \infty)$ .

Hence the solution is $(- \infty, - 4) \cup (1, \infty)$ .

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Solve the inequality by using the graph of the function.
Solve $f (x) < 0$ , where
role="math" localid="1646231564659" $f (x) = - \frac{1}{2} (x + 4) (x - 1)^{3}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Graphing the function

Step 3. Solve the inequality

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Solve the inequality by using the graph of the function.Solve f(x)<0, whererole="math" localid="1646231564659" f(x)=-12(x+4)(x-1)3

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Graphing the function

Step 3. Solve the inequality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Calculus

Statistics

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the inequality by using the graph of the function.
Solve $f (x) < 0$ , where
role="math" localid="1646231564659" $f (x) = - \frac{1}{2} (x + 4) (x - 1)^{3}$