Find the domain, range and x intercepts of the following problem approximate to two decimal places of the function
y=3x^2-30x+5© BrainMass Inc. brainmass.com February 24, 2021, 2:28 pm ad1c9bdddf
Domain is the set of x values for which the function is defined.
In this function, any value of x will evaluate to a number. Thus the domain of the function is all the real numbers.
As for the range - this is the set of values y can get.
The function is a parabola. Since the coefficient of x^2 is positive, this function has a minima (The maximal value is infinity - just plug in x=infinity or x=-infinity and you'll see).
To calculate the minima, we take the first derivative with respect to x and equate it to zero:
The properties of a parabola are discussed. The x-intercepts are determined.