Question

Find the domain and range in interval notation and intercepts of the function f(x)=2x+7.

Answer 1

We have a linear function.

In linear function we have a domain and range of ALL real numbers. So the domain and range is equal to:

`(\text{ -}\infty,\infty)`

The x-intercept is when y is 0

`\begin{gathered} 0=2x+7 \\ \text{ -}7=2x \\ x=\text{ -}(7)/(2) \end{gathered}`

And the y-intercept when x is 0

`\begin{gathered} f(x)=2(0)+7 \\ f(x)=7 \end{gathered}`

Anyway, the graph is the following:

See that the x axis and the y axis are infinite, they will never end