Question

2. The absolute value function can be defined using piecewise notation. A(x) = { x > 0 -X, X < 0 Use this notation to find the following values: a. A(10) b. A(0) C. A(-3) d. A(3.14159) e. A(x) = 7 f. A(x) = -5 2a. 2b. 2c. 2d. 2e. 2f.

Answer 1

ANSWERS

a. A(10) = 10

b. A(0) = 0

c. A(-3) = 3

d. A(3.14159) = 3.14159

e. x = 7, x = -7

f. A(x) = -5 is not from this function

EXPLANATION

To find the answers to a to d we just have to write the number that inside the parenthesis as a positive number if it's negative.

For e the result is positive, so x can be either positive or negative:

$\begin{gathered} x=7 \\ x=-7 \end{gathered}$

Result f does not belong to this function, because the function is always positive. If x is positive, then the value of the function is the same value of x. If x is negative, the value of the function is -x, hence this value is positive too.