Answer:
Conclusion:
Step-by-step explanation:
Given the function
f(x) = 3x + 4
Determining the VERTICAL ASYMPTOTES
The line x = L is a vertical asymptote of the function y=3x+4 if the limit of the function (one-sided) at this point is infinite.
It means that possible points are points where the denominator equals 0 or doesn't exist.
So, find the points where the denominator equals 0 and check them.
As can be seen, there are no such points, so this function doesn't have vertical asymptotes.
Determining the HORIZONTAL ASYMPTOTES
Line y = L is a horizontal asymptote of the function y=f(x) if either [tex]\lim _{x\to \infty }\:f\left(x\right)=L[/tex] or [tex]\lim _{x\to -\infty }\:f\left(x\right)=L[/tex], and L is finite.
Calculate the limits:
[tex]\:\lim \:_{x\to \:\infty \:}\:\left(3x+4\right)=\:\infty \:[/tex]
[tex]\:\lim \:_{x\to \:-\infty \:}\:\left(3x+4\right)=\:-\infty \:[/tex]
Thus, there are no horizontal asymptotes
Determining the SLANT ASYMPTOTES
Since the degree of the numerator is not one degree greater than the denominator, then there are no slant asymptotes.
Conclusion:
Answer:
For plato family
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The asymptote of the function f(x) = 3x + 4 is y = 4
.
Step-by-step explanation:
The answer is y= 4
