Determine whether the following graph represents a function

A graph may or may not represent a function depending on the relationship between the x and y values of the graph.

The given graph does not represent a function

From the graph, we observe that;

The same value of x points to the different values of y.

For instance:

When x = -6, the values of y are 3 and -3.

This is a many-to-one relation.

And a many-to-one relation does not represent a function.

Also, from the graph; there are several other values of x, that point to multiple values of y

Hence, the graph does not represent a function.

Read more about functions and relations at:

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No, it is not a function

Why not? Because the graph fails the vertical line test. It is possible to draw a single vertical line through more than one point on the graph. For instance, we can draw a vertical line through x = 1 on the x axis, and this vertical line crosses the curve at two different points.

A function is only possible if any input x leads to exactly one y output.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

happy to

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