Chapter 4: Q. 3 (page 375)

$Sketch a graph of f (x) = x^{2} and a graph of A (x) on the same set of axes .$

Short Answer

Expert verified

$The graph of f (x) = x^{2} is above the x - axis where y > 0 . the function f (x) is decreasing for x < 0 and f (x) is increasing for x > 0 . The graph of A (x) is increasing where x < 0, y < 0 and again increasing when x > 0, y > 0 .$

Step by step solution

Step 1. Given information is:

$f (x) = x^{2} and A (x) = \frac{x^{3}}{3}$

Step 2. Plotting Graph

Step 3. Interpretation

$Both the graph passes, through the origin and (0, 0) is common turning point . The graph of f (x) = x^{2} is above the x - axis where y > 0 . the function f (x) is decreasing for x < 0 and f (x) is increasing for x > 0 . The graph of A (x) is increasing where x < 0, y < 0 and again increasing when x > 0, y > 0 .$

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91影视

$Sketch a graph of f (x) = x^{2} and a graph of A (x) on the same set of axes .$

Short Answer

Step by step solution

Step 1. Given information is:

Step 2. Plotting Graph

Step 3. Interpretation

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91影视

Sketchagraphoff(x)=x2andagraphofA(x)onthesamesetofaxes.

Short Answer

Step by step solution

Step 1. Given information is:

Step 2. Plotting Graph

Step 3. Interpretation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Calculus

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Pure Maths

Study anywhere. Anytime. Across all devices.

$Sketch a graph of f (x) = x^{2} and a graph of A (x) on the same set of axes .$