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

Systems, i cant figure this out

i cant figure this out

Student, the weight of a body above the surface of earth varies inversely w...

the weight of a body above the surface of earth varies inversely with the square of the distance from the center of the earth. if maria weighs 125 pounds when she is on the surface

Algebra word problem, The weight of an object on Planet A and the weight of...

The weight of an object on Planet A and the weight of the same object on the Planet B are proportional. An astronaut who weighs 160 pounds on Planet A weighs 26.7 pounds on Planet

Introduction to Algebra, I need help with my Discussion 1 for week 5 please...

I need help with my Discussion 1 for week 5 please. w^2 + 30w + 81 and ac + xc + aw^2 + xw^2 and last one is x^4 - x^3

Exponential story problems., The cost of a can of Coca-Cola in 1960 was $0....

The cost of a can of Coca-Cola in 1960 was $0.10. The exponential function that models the cost of Coca-Cola by year is given below, where (t) is the number of years since 1960. C

Word Problem, Preston wants to build a cement patio that will be 8 meters b...

Preston wants to build a cement patio that will be 8 meters by 11 meters. It will cost $1.84 per square meter to build. What will be the total cost of the patio?

Quarditic, what is quarditic equation

what is quarditic equation

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

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

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