Question

Select the domain and the range of the function as an inequality, using set notation, and using interval notation. Also select the end behavior of the function or complete the explanation why there is no end behavior. The graph of the quadratic function f(x) = 3x2 + 2 is shown.​

Answer 1

The domain is the input value of x, which can be any real number.

There is no inequality.

Set notation x | E R. ( all real nUmbers)

Interval. Oration (-infinity, infinity)

Range: set x to 0 and solve:

3(0)^2 + 2 = 2

The lowest value is 2 and goes to infinity.

Inequality is >=

Set notation Y | >= 2

Interval notation : [2, infinity)

End behavior they both go to infinity .