Determine a graph which have x-intercepts, Algebra

Assignment Help:

Remember that a graph will have a y-intercept at the point (0, f (0)) .  Though, in this case we have to ignore x = 0 and thus this graph will never cross the y-axis. It does get extremely close to the y-axis, but it will never cross or touch it & thus no y-intercept.

Next, remember that we can determine where a graph will have x-intercepts by solving f ( x ) = 0 .

For rational functions this might seem like a mess to deal along with.  Though, there is a nice fact regarding rational functions which we can use here.  A rational function will be zero at a specific value of x only if the numerator is zero at that x & the denominator isn't zero at that x.  In other terms, to determine if a rational function is ever zero all that we need to do is set the numerator equal to zero & solve.  Once we have these solutions we just need to check that none of them make the denominator zero as well.

In our case the numerator is one and will never be zero and so this function will have no x- intercepts.  Again, the graph will get extremely close to the x-axis but it will never touch or cross it.

At last, we have to address the fact that graph gets extremely close to the x and y-axis but never crosses.  Since there isn't anything special about the axis themselves we'll use the fact that the x- axis is actually the line specified by y =0 and the y-axis is really the line specified by x = 0.


Related Discussions:- Determine a graph which have x-intercepts

Kiera, how do you solve 9/x=4/12

how do you solve 9/x=4/12

Help, How to do x+y+z?

How to do x+y+z?

Graphing and functions, Graphing and Functions        Graphing ...

Graphing and Functions        Graphing In this section we have to review some of the fundamental ideas in graphing.  It is supposed that you've seen some graphing at th

Identities to cubes, what is the volume of a cube with side length 4 ?

what is the volume of a cube with side length 4 ?

Word problem.., In a certain class, one half of the male students and two t...

In a certain class, one half of the male students and two thirds of the female students speak Freanch. If there are three fourths as many girls as boys in the class. What fractio

Base numbers, convert 2543 to a decimal base 10 to binary base 2

convert 2543 to a decimal base 10 to binary base 2

#Case 1, The diet problem, one of the earliest applications of linear progr...

The diet problem, one of the earliest applications of linear programming, was originally used by hospitals to determine the most economical diet for patients. Known in agricultu

School, Find the interest if: p = $8000, r = 6%, and t = 1 year

Find the interest if: p = $8000, r = 6%, and t = 1 year

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd