The horizontal asymptote of each graph is:
1. y=0
2. y= -3
What is asymptote?
An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.
1.Given function:
t(x)= [tex]6^{x}[/tex]
If we apply limit x→∞, then we get y=c as horizontal asymptote
So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0
Hence, the asymptote will by y=0.
2. Given function:
t(x)= [tex]5^{x}[/tex]-3
If we apply limit x→∞, then we get y=c as horizontal asymptote
So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3
Hence, the asymptote will by y=-3.
Learn more about asymptote here:
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