Using the Desmos Calculator to find the horizontal asymptote of the graph of y=4x6+5x+84x6+6x+5%0D%0A%0D%0A=%0D%0A4%0D%0A%0D%0A6%0D%0A+%0D%0A5%0D%0A%0D%0A+%0D%0A8%0D%0A4%0D%0A%0D%0A6%0D%0A+%0D%0A6%0D%0A%0D%0A+%0D%0A5%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0Ay=−14%0D%0A%0D%0A=%0D%0A−%0D%0A1%0D%0A4%0D%0Ay is equal to negative 1 fourth%0D%0A%0D%0Ay=0%0D%0A%0D%0A=%0D%0A0%0D%0Ay is equal to 0%0D%0A%0D%0Ay=1%0D%0A%0D%0A=%0D%0A1%0D%0Ay is equal to 1%0D%0A%0D%0Ano horizontal asymptote
To find the horizontal asymptote of the given function y=4x^6+5x+84x^6+6x+5, we first need to simplify the function by combining like terms:
y = 4x^6 + 5x + 84x^6 + 6x + 5
y = 88x^6 + 11x + 5
Next, to find the horizontal asymptote, we need to look at the highest degree terms in the numerator and denominator of the function. In this case, the highest degree term in the numerator is 88x^6 and there is no denominator. Since the degree of the highest term in the numerator is greater than the degree of the highest term in the denominator (which is 1), there will be no horizontal asymptote.
Therefore, the correct response is:
no horizontal asymptote