Question

What is the range of f(x) = (3/4)^x – 4?

Answer 1

set builder notation is f(x)

Interval notation is [-4, ∞)

Explanation:

`f(x) = ((3)/(4))^x -4`

Range is the set of all y values for which the function is defined

In general, for function f(x)= a^x +k the range of the function is f(x)>= k

Now we compare general form of the function with the given function and find out the range

the value of k = -4

so the range of the given function is f(x) >= -4

set builder notation is f(x)

Interval notation is [-4, ∞)

Answer 2

Range = f(x) ≥ –4