Chapter 5: Q. 4 (page 282)

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red
Find the average rate of change of $f (x) = 3 x - 5$ from $x = 0 t p x = 4$

Short Answer

Expert verified

The average rate of change of $f (x) = 3 x - 5$ from $x = 0 t o x = 4$ is $3$

Step by step solution

Step 1. Given

The function $f (x) = 3 x - 5$

From $x = 0 t o x = 4$

To find the average rate of change.

Step 2. Find the function at given points.

At $x = 4,$

$f (4) = 3 (4) - 5 = 12 - 5 = 7$

$f (0) = 3 (0) - 5 = - 5$

Step 3. Average rate of change

Average rate of change $= \frac{f (b) - f (a)}{b - a}, b \neq a$

Step 4. Substitute the values in the formula.

Substitute the given values in the formula,

Rate of change $= \frac{f (4) - f (0)}{4 - 0}, 4 \neq 0$ role="math" localid="1646181359797" $= \frac{7 - (- 5)}{4 - 0} = \frac{12}{4} = 3$

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Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red
Find the average rate of change of $f (x) = 3 x - 5$ from $x = 0 t p x = 4$

Short Answer

Step by step solution

Step 1. Given

Step 2. Find the function at given points.

Step 3. Average rate of change

Step 4. Substitute the values in the formula.

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Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in redFind the average rate of change of f(x)=3x-5 from x=0tpx=4

Short Answer

Step by step solution

Step 1. Given

Step 2. Find the function at given points.

Step 3. Average rate of change

Step 4. Substitute the values in the formula.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red
Find the average rate of change of $f (x) = 3 x - 5$ from $x = 0 t p x = 4$