The table below shows selected points from a function.
1 answer:
The rate change of interval for the given table is Constant , so the function a linear function.
<u>Step-by-step explanation:</u>
A linear function is defined as a function which yields a line in a graph and the rate of change(constant) is called as slope.
Since the rate is constant, then function will result in a straight line.
From the given table the slope m=1 and it changes constantly.
The linear equation formula is y=mx+c.
where m is the slope and c is the y-intercept.
The linear equation for the given table is y=x+1.
∴ The rate change of interval for the given table is Constant , so the function a linear function.
If the graph for a function has any shapes other than a straight line then it doesn't have a constant slope and it will be a non-linear function.
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Using the concept of domain, the domain of (f.g)(x) is given by:
{x ∈ ℝ | x ≠ 3}
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- The domain of a function is given by all possible input values, that is, <u>on a graph, all values that the x-axis assumes.</u>
- In the graph, <u>function f assumes all real values.</u>
- Function g is not defined for x = 3, thus, it's domain is all real values except 3.
- Thus, the multiplication, as
, will also not be defined at x = 3, and the domain of the multiplication is:
{x ∈ ℝ | x ≠ 3}
A similar problem is given at brainly.com/question/4175434