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Chapter 4: Q. 54 (page 274)

Graph each function. State the domain and range.

f(x)=|2x鈭�2|

Short Answer

Expert verified

The domain is all real numbers and the range is non-negative real numbers i.e.,

{y:y鈮�0}

Step by step solution

01

Step 1. State the concept for absolute value function.

An absolute value function is a function that contains an algebraic expression within absolute value symbols. The absolute value of a number is its distance from 0 on the number line.

f(x)=|x|={x;x>0鈭�x;x鈮�0}

02

Step 2. Solve for x.

Since f(x)cannot be negative , so the minimum point of the graph will be where

f(x)=0

f(x)=|2x鈭�2|f(x)=卤(2x鈭�2)=02x鈭�2=02x=2x=1

03

f(x)Step 3. Make a table for the given function.

Construct a table for by taking some values ofx.

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