Q3. Write a function involving absol... [FREE SOLUTION]

Chapter 2: Q3. (page 92)

Write a function involving absolute value for which $f (- 2) = 3$

Short Answer

Expert verified

The absolute value function for which $f (- 2) = 3 鈥� 鈥� i s 鈥� f (x) = |x - 1|$

Step by step solution

Step-1–Absolute value

The absolute value of a number is its distance of number from zero on the number line and distance is always non-negative

Step-2 – Rewrite the given Function.

The absolute function can be written as:

$f (x) = {\begin{cases} 鈭� x 鈥� i f 鈥� x < 0 \\ x 鈥� i f 鈥� x 鈮� 0 \end{cases}$

Step-3–Simplify.

Assume the equation is $f (x) = | x - 1 |$ .

Substitute the value of xby $- 2$

$\begin{array}{l} f (x) = | x 鈭� 1 | \\ f (鈭� 2) = | 鈭� 2 鈭� 1 | \\ = | 鈭� 3 | \\ = 3 \end{array}$

So, the absolute value function for which $f (- 2) = 3 鈥� 鈥� i s 鈥� f (x) = |x - 1|$

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91影视

Write a function involving absolute value for which $f (- 2) = 3$

Short Answer

Step by step solution

Step-1–Absolute value

Step-2 – Rewrite the given Function.

Step-3–Simplify.

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91影视

Write a function involving absolute value for which f(-2)=3

Short Answer

Step by step solution

Step-1–Absolute value

Step-2 – Rewrite the given Function.

Step-3–Simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Decision Maths

Probability and Statistics

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Write a function involving absolute value for which $f (- 2) = 3$