Use a graph to determine if the exponential function g left-parenthesis x right-parenthesis equals negative 6 times 5 superscript x baseline is positive or negative and increasing or decreasing.
(1 point)
Responses
positive, increasing
positive, increasing
positive, decreasing
positive, decreasing
negative, increasing
negative, increasing
negative, decreasing
To determine whether the exponential function g(x) = -6 * 5^x is positive or negative, and increasing or decreasing, we can analyze the behavior of the graph.
The base of the exponential function is 5, which means that as x increases, the function will either increase or decrease depending on the coefficient (-6 in this case).
Since the coefficient is negative (-6), the graph will be reflected about the x-axis. This means that the function will be negative for all values of x.
Additionally, since the base is positive (5), the absolute value of the exponential function will be positive.
Therefore, the exponential function g(x) = -6 * 5^x is negative and decreasing.
The correct response is: negative, decreasing.