Answer:
The given image is a graph of an exponential function. The graph is in the form of y = ab^x, where a is the initial value (y-intercept), b is the base (growth or decay factor), and x is the exponent (input value).
In this particular graph, the function appears to be a decay function since the value of the function is decreasing as x increases. We can also see that the initial value of the function is 24, which means that when x = 0, y = 24. We can also see that the base of the function is less than 1 (approximately 0.8), which tells us that the function is decreasing at a constant rate.
To write the exponential function that represents this graph, we can use the general form of the function y = ab^x and substitute the known values:
y = 24(0.8)^x
Therefore, the exponential function that represents the given graph is y = 24(0.8)^x.
Image 2.
The given image is a graph of an exponential function. The graph is in the form of y = ab^x, where a is the initial value (y-intercept), b is the base (growth or decay factor), and x is the exponent (input value).
In this particular graph, the function appears to be a growth function since the value of the function is increasing as x increases. We can also see that the initial value of the function is 5, which means that when x = 0, y = 5. We can also see that the base of the function is greater than 1 (approximately 1.2), which tells us that the function is increasing at a constant rate.
To write the exponential function that represents this graph, we can use the general form of the function y = ab^x and substitute the known values:
y = 5(1.2)^x
Therefore, the exponential function that represents the given graph is y = 5(1.2)^x.