Question

Which value can fill in the blank in the function f(x) = ____|x| to make its graph wider than that of the parent function, f(x) = |x|?

A) -1
B) 1/4
C) 1
D) 4

Answer 1

B) 1/4

Explanation:

Just did it on Edge!!

Answer 2

Right answer:

B) 1/4

A function
`f` from a set
`A` to a set
`B` is a relation that assigns to each element
`x` in the set
`A` exactly one element
`y` in the set
`B`. The set
`A` is the domain (also called the set of inputs) of the function and the set
`B` contains the range (also called the set of outputs). On the other hand, the absolute value function
`f(x)=\left | x \right |` is a Piecewise Function defined as:

`f(x)=\left|x\right|=\left\{ \begin{array}{c} x\ \ \ \ if\,x\geq0\\ -x\ \ \ if\,x<0 \end{array}\right.`.

For a function
`f(x)=a\left | x \right |`:

• If
  `\left | a \right |` is small, the graph of the function opens more widely than if
  `\left | a \right |` is large. Finally, the correct option is B) 1/4

`\boxed x \right`