Chapter 2: Q. 31 (page 113)

If $(3, 6)$ is a point on the graph of role="math" localid="1645806552504" $y = f (x)$ , which of the following points must be on the graph of $y = f - (x)$ ?

Short Answer

Expert verified

The point $(3, - 6)$ lies on the graph localid="1645811301127" $y = - f (x)$ so the option cis correct.

Step by step solution

Step 1. Given data

The point $(3, 6)$ lies on the graph of the function $y = f (x)$ .

transformed function is $y = - f (x)$ .

Step 2. Explanation of correct option C

Point $(3, 6)$ lies on $y = f (x)$

so $f (3) = 6$

$y = - f (x)$ is a reflection of $y = f (x)$ about x-axis

so y coordinate of $y = - f (x)$ at $x = 3$

$y = - f (3) y = - 6$

point $(3, - 6)$ lies on $y = - f (x)$ so option C is correct.

Step 3. explanation of incorrect options

point $(6, - 3)$ does not lie on $y = f (x)$ so $(6, 3)$ can not lie on $y = - f (x)$ and option a is incorrect.
point $(6, 3)$ does not lie on $y = f (x)$ so $(6, - 3)$ can not lie on $y = - f (x)$ and option b is incorrect.
pointlocalid="1645808421822" $(- 3, - 6)$ does not lie on $y = f (x)$ so $(- 3, 6)$ can not lie on $y = - f (x)$ and option d is incorrect.

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If $(3, 6)$ is a point on the graph of role="math" localid="1645806552504" $y = f (x)$ , which of the following points must be on the graph of $y = f - (x)$ ?

Short Answer

Step by step solution

Step 1. Given data

Step 2. Explanation of correct option C

Step 3. explanation of incorrect options

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If 3,6is a point on the graph of role="math" localid="1645806552504" y=f(x), which of the following points must be on the graph of y=f-(x)?

Short Answer

Step by step solution

Step 1. Given data

Step 2. Explanation of correct option C

Step 3. explanation of incorrect options

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Discrete Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

If $(3, 6)$ is a point on the graph of role="math" localid="1645806552504" $y = f (x)$ , which of the following points must be on the graph of $y = f - (x)$ ?