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Chapter 4: Q. 9 (page 193)

The graph of a power function of the form $f (x) = x^{n}$ , where $n \geq 2$ is an even integer, always contains the points ______, _ and _______ .

Short Answer

Expert verified

The solution is $(0, 0), (- 1, 1)$ and $(1, 1)$ .

Step by step solution

Step 1. Given information

Power function: $f (x) = x^{n}$

Step 2. Calculation

The graph of a power function of the form $f (x) = x^{n}$ , where $n \geq 2$ is an even integer, always contains the points $(0, 0), (- 1, 1)$ and $(1, 1)$ .

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Most popular questions from this chapter

Find the domain of the rational function.

$F (x) = \frac{3 x (x - 1)}{2 x^{2} - 5 x - 3}$

For a rational functionR, if the degree of the numerator is less than the degree of the denominator, then R is ________.

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True or False : The graph of $f (x) = \frac{x}{x - 3}$ is above the x-axis for $x < 0$ or $x > 3$ , so the solution set of the inequality $\frac{x}{x - 3} \geq 0$ is ${x : x \leq 0 o r x \geq 3}$ ..

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The graph of a power function of the form fx=xn, where n≥2is an even integer, always contains the points __________, _________ and ___________ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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Most popular questions from this chapter

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The graph of a power function of the form $f (x) = x^{n}$ , where $n \geq 2$ is an even integer, always contains the points ______, _ and _______ .