Does this graph represent a function? Why or why not?

Mathematics

2 answers:

sashaice [31]3 years ago

8 0

Answer:

B)...yes, because it passes the vertical line test.

Step-by-step explanation:

Maslowich3 years ago

3 0

This graph represents a function because it passes the vertical line test (option B)

<h3>Further explanation</h3>

Function is a relation which each member of the domain is mapped onto exactly one member of the codomain.

There are many types of functions in mathematics such as :

<em>Linear Function → f(x) = ax + b</em>

<em>Quadratic Function → f(x) = ax² + bx + c</em>
<em>Trigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan x</em>
<em>Logarithmic function → f(x) = ln x</em>
<em>Polynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...</em>

If function f : x → y , then inverse function f⁻¹ : y → x

Let us now tackle the problem!

One of the condition for a relation to be a function is that it has to pass the vertical line test. The test is done by drawing several vertical lines on the graph. If all the vertical lines drawn never intersect the curve more than one point, then this curve is said to have passed the vertical line test.

<h3>Learn more</h3>