What is the range of the function f(x) = -2(6^x) + 3?

Solution:

Given f(x) = -2(6^x) + 3

y= -2(6^x) + 3

A function is defined as that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

As x is in power of 6, it will give all positive values only.

The function f(x) is valid for all x values.

Hence, the range of f(x) is (-∞, ∞), {y, y∈ R}.

What is the range of the function f(x) = -2(6^x) + 3?

Summary:

The range of the function f(x) = -2(6^x) + 3 is (-∞, ∞), {y, y∈ R}.