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

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:

$f(x)=\left|x\right|=\left\{ \begin{array}{c} x\ \ \ \ if\,x\geq0\\ -x\ \ \ if\,x$.

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

$\boxed{f(x)=\frac{1}{4}\left | x \right |}$

Answer 2

Answer:

B) 1/4

Step-by-step explanation:

Just did it on Edge!!