Chapter 4: Q. 9 (page 241)

Solve the inequality by using the graph of the function.
Solve $f (x) < 0$ , where $f (x) = x^{2} (x - 3)$

Short Answer

Expert verified

The solution of the inequality is $(- \infty, 0) \cup (0, 3)$ .

Step by step solution

Step 1. Graph the function

The graph of the function $f (x) = x^{2} (x - 3)$ is given as

Step 2. Solve the inequality

To find the solution of $f (x) < 0$ , we need to find the values of x for which the graph is below the x axis.

From the graph, we can see that for $x < 3$ the graph is below the x axis. But at $x = 0$ , the function value is equal to $0$ .

So the solution is given as $(- \infty, 0) \cup (0, 3)$ .

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Solve the inequality by using the graph of the function.
Solve $f (x) < 0$ , where $f (x) = x^{2} (x - 3)$

Short Answer

Step by step solution

Step 1. Graph the function

Step 2. Solve the inequality

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Solve the inequality by using the graph of the function.Solvef(x)<0, wheref(x)=x2(x-3)

Short Answer

Step by step solution

Step 1. Graph the function

Step 2. Solve the inequality

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Solve the inequality by using the graph of the function.
Solve $f (x) < 0$ , where $f (x) = x^{2} (x - 3)$