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

Polynomial functions, Polynomial Functions Dividing Polynomials ...

Polynomial Functions Dividing Polynomials We're going to discussed about dividing polynomials. Let's do a quick instance to remind how long division of polynomials

Solve out given systems, Example 2 Solve out following systems of equation...

Example 2 Solve out following systems of equations. 3x + y - 2z = 2 x - 2 y + z = 3 2x - y - 3z = 3 Solution Firstly write down the augmented matrix for this syst

Factoring.., w^2 + 30w + 81= (-9x^3 + 3x^2 - 15x)/(-3x) (14y = 8y^2 + y^3 +...

w^2 + 30w + 81= (-9x^3 + 3x^2 - 15x)/(-3x) (14y = 8y^2 + y^3 + 12)/(6 + y) ac + xc + aw^2 + xw^2 10a^2- 27ab + 5b^2 For the last problem I have to incorporate the following words

Quantitative methods, how quantitative analysis has changed the current sc...

how quantitative analysis has changed the current scenario in the management world today

Variablesand inequalities, i need help with an assignment that is about two...

i need help with an assignment that is about two variable inequalities

Integers, how to find the distance between -2 and 3 on a number line

how to find the distance between -2 and 3 on a number line

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