What is the domain of the function shown in the graph below?

Mathematics

2 answers:

Ganezh [65]3 years ago

8 0

It is would be -5 to 8

cricket20 [7]3 years ago

6 0

Answer: interval from -8 to 5

In interval notation, we would write [-8, 5]

The domain is the set of allowed x inputs to a function. The left-most point is (-8,0) so x = -8 is the smallest x value allowed. The largest x value allowed is x = 5 due to the point (5,0) being the right-most point.

The use of square brackets in interval notation says "include this endpoint as part of the interval".

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Make a table for the following equations<br> y = 2x + 4

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In order to make a table, we sample some x values (whichever we want), and we compute the expression for those value. Each x value will yield a unique y value.

If you need this table to graph the function, you'll only need two points, since this is a line, and having two points you just need to connect them.

Here are some samples, feel free to make more if you need to:

$f(x)=2x+4\implies f(0)=2\cdot 0 + 4 = 4$