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

Eguations, I dont really understand it can you help me

I dont really understand it can you help me

Pharmacy, prescription has a 35% mark up with a 5.66 dispense fee one table...

prescription has a 35% mark up with a 5.66 dispense fee one tablet is 15.70 and how much would 3 tablets cost?

Homework, 10n+2+32 what does n equal

10n+2+32 what does n equal

.., (4y2)(2y)

(4y2)(2y)

Sketch the graph on the similar axis system, Sketch the graph of f( x ) = 2...

Sketch the graph of f( x ) = 2 x   and g( x ) = ( 1 /2) x on the similar axis system. Solution Okay, as we don't have any ideas on what these graphs appear like we're goin

Simplification, how to simplify (2p+3q){whole cube} - 18q(4p {square} - 9q ...

how to simplify (2p+3q){whole cube} - 18q(4p {square} - 9q {square})+(2p - 3q){whole cube} using simple formulae ?

Distance, If a jet can travel 600 mph, how long in second will it take the ...

If a jet can travel 600 mph, how long in second will it take the jet to travel 5 miles?

Using transformation sketch the graph, Using transformation sketch the grap...

Using transformation sketch the graph of each of the following.                                             g ( x ) = - x 2 Solution (a)  Depending on the placement of

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