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

Example of mixing problems, How much of a 50% alcohol solution should we mi...

How much of a 50% alcohol solution should we mix with 10 gallons of a 35% solution to get a 40% solution? Solution Let x is the amount of 50% solution which we need.  It me

Geometry, If you have a ten by ten mile square and one square of land is pe...

If you have a ten by ten mile square and one square of land is perserved for a cementary how many cementaries can you fit in one square. There are fourty-six cementaries.

Fx, How do i do an fx problem?

How do i do an fx problem?

2X+1-ln x:x-1, i want the limits of this equation

i want the limits of this equation

Find out the partial fraction decomposition, Find out the partial fraction ...

Find out the partial fraction decomposition of each of the following. 8x 2 -12/( x( x 2 + 2 x - 6) Solution In this case the x which sits in the front is a linear term

Graphing, I do not understand graphing at all.

I do not understand graphing at all.

Polynomials and factoring, how can you model the addition of polynomials wi...

how can you model the addition of polynomials with algebra tiles

Substitution method, solve x-y=8 and x+y=4 using one of the algebraic metho...

solve x-y=8 and x+y=4 using one of the algebraic methods

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