Help find the domain

Calculus
Tutor: None Selected Time limit: 1 Day

Find the domain of this equation:

x^2+7x-4

Oct 24th, 2015

Thank you for the opportunity to help you with your question!

hello.  if you notice this function, it is a parabola.  Do you agree? THE DOMAIN IS ALL REAL NUMBERS.  (All polynomial functions have domains defined for all real numbers.)

In the form  f(x) = x*x + 7x - 4,  we see the y-intercept is (0, -4)  and the roots are x = -3.5 + sqrt(65)/2  and x = -3.5 - sqrt(65)/2     or   (0.5311, 0)  and  (-7.5311, 0)

The function equation is defined for all numbers x. so in set notation the domain is { x | for x is any real number}

Domain:

Set Notation: { x | for x is any real number}

Interval Notation:  (-infinity, +infinity) 

Please let me know if you need any clarification. I'm always happy to answer your questions. from Alan C
Oct 24th, 2015

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