Question

The mapping diagram shows a functional relationship

Answer 1

Answer:

$f(4)=\frac{1}{2}$

f(x) = 4 when x is 8

Step-by-step explanation:

Domain is the set of x values that make the function defined. Allowed x values for the function (mapping).

The Range is the set of y values that make the function defined. Allowed y values for the function (mapping).

• Whenever we need to find f(a), suppose, then we look for "a" in the domain and see its corresponding value mapping in the range.
• Whenever we will be given a value for f(x) = a, suppose, and we have to find "x", we look at the value a in the range and find corresponding x value in the domain.

Firstly, we need f(4), so we look for "4" in domain and see which number it corresponds to in range.

That is $\frac{1}{2}$

Thus,

$f(4)=\frac{1}{2}$

Next,

We want "x" value that gives us a "y" value of 4. We look for "4" in the range and see which value it corresponds to. That is "8". So,

f(8) = 4