Question

G(x)=4(3)^x

find the domain, range and y intercept and tell me if this is a exponential or linear function

Answer 1

• Domain:
  `R`
• Range:
  `R`
• 
  `y`-intercept:
  `y=4`
• Is Linear?:
  `False`

The domain of a function is the set of all possible input values that the function can take. In this case, the domain of the function is the set of all real numbers, since the exponential functions is defined for all real numbers.

The range of a function is the set of all possible output values that the function can produce. It's also the set of all real numbers because of the exponential form.

The y-intercept of a function is the point at which the function crosses the
`y`-axis on a graph. Just set the
`x=0` and look at the result. This will give you the
`y`-intercept.

Exponential functions break linearity. We can understand this by looking at its graph or its derivative.