Use a graph to determine if the exponential function is positive or negative and increasing or decreasing. g (x) =-6*5x (1 point) Responses positive, increasing positive, increasing positive, decreasing positive, decreasing negative, increasing negative, increasing negative, decreasing negative, decreasing
To determine if the exponential function g(x) = -6*5^x is positive or negative and increasing or decreasing, we can create a graph of the function.
We can plot some points to help us create the graph:
x = 0: g(0) = -6*5^0 = -6*1 = -6
x = 1: g(1) = -6*5^1 = -6*5 = -30
x = 2: g(2) = -6*5^2 = -6*25 = -150
From these points, we notice that as x increases, g(x) becomes more negative. Therefore, the function is negative.
Now, let's plot these points on the graph:
The point (0, -6)
The point (1, -30)
The point (2, -150)
The graph of the exponential function g(x) = -6*5^x would be a decreasing curve that starts in the negative quadrant.
Therefore, the answer is: negative, decreasing.