Question

What are the horizontal asymptote and y-intercept of function f?
f(x)=6^x

Answer 1

General exponential equation

• y=ab^x+c

Where horizontal asymptote is y=c

Here c is 0

Hence horizontal asymptote is y=0

Y intercept

Put x=0

• y=6⁰
• y=1

Y intercept at (0,1)

Answer 2

• The horizontal asymptote is y = 0
• The y-intercept is (0, 1)

Explanation:

The exponential function in the form of

• 
  `f(x)=ab^x +c` has the horizontal asymptote of y = c

In our case c = 0 so the horizontal asymptote is

• y = 0

The y-intercept is the y-coordinate when x = 0

• 
  `f(0) = 6^0=1`