Question

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

Answer 1

Answer:

set builder notation is  {f(x) | f(x) ≥ –4}

Interval notation is [-4, ∞)

Step-by-step explanation:

$f(x) = (\frac{3}{4})^x -4$

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) | f(x) ≥ –4}

Interval notation is [-4, ∞)

Answer 2

Range = {f(x) | f(x) ≥ –4}