Problemas
Graph the exponential function. f(x)=((5)/(4))^x Plot five points on the graph of the function. Then click on the graph-a-function button.
Roztwór
Álvaro
experto · Tutor durante 3 años
4.5
(195 Votos)
Respuesta
To graph the exponential function
, we can follow these steps:Step 1: Identify the base of the exponential function.In this case, the base is
.Step 2: Determine the behavior of the function.Since the base
is greater than 1, the function will be increasing.Step 3: Plot points on the graph.We can choose a few values of x and calculate the corresponding values of f(x) to plot points on the graph.For example, let's choose x = -2, -1, 0, 1, and 2.When x = -2, f(x) =
When x = -1, f(x) =
When x = 0, f(x) =
When x = 1, f(x) =
When x = 2, f(x) =
Step 4: Connect the points.Now that we have plotted the points, we can connect them to form the graph of the exponential function.The graph of the function
will show an increasing curve that passes through the points we calculated.Answer: The graph of the exponential function
is an increasing curve that passes through the points (-2,
), (-1,
), (0, 1), (1,
), and (2,
).