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

7.5 Special Systems, Can you get me more questions to practice on this.

Can you get me more questions to practice on this.

Quadratic formula, how can i solve this if a=2 b=7 c=9 using quadratic form...

how can i solve this if a=2 b=7 c=9 using quadratic formula?

#title.Factor., w2+30w+81 need step by step and explanation.

w2+30w+81 need step by step and explanation.

Crossword help, what is the three in four to the third power?

what is the three in four to the third power?

Shapes, I know im not in the exact grade yet but i would like to know how i...

I know im not in the exact grade yet but i would like to know how it works to be ahead of time

Example of horizontal shifts, By using transformations sketch the graph of ...

By using transformations sketch the graph of the given functions.                                          h ( x ) = ( x + 2) 3 Solution With these we have to first ide

Word problems, Mr.Carr is installing wall-to-wall carpeting in a room that ...

Mr.Carr is installing wall-to-wall carpeting in a room that measures 12 1/2ft. by 9ft. How much will it cost Mr. Carr if he purchases carpet priced at $26.00 per square yard?

Linear equations, 6x-2y=14 find the value of y when x =0

6x-2y=14 find the value of y when x =0

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