Question

1.) graph the function and identify the domain and range. y=-4x^2
anyone wanna help me? the test is death. its the Quadratic functions and equations one. Thanks!

Answer 1

The domain of a function is the set of all allowable values of the independent variable, in this case x-values.

The range of a function is the set of output values when all x-values in the domain are evaluated into the function, in this case the y-values.

In this case written with interval notation the domain is x ∈ ( - ∞ , ∞ )

because all these numbers can be squared

OR

x ∈ R

written with set notation

This means all real numbers.

In this case the rage is y ∈ ( - ∞ , 0 ) written with interval notation

OR

y ∈ ≤ 0

written with set notation

This is because the square of a number is always positive, but when multiplied by - 4 then it is always negative.

For a graph on the Internet find some site for drawing graphs.

There are many of them.