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The graph of the function, f(x) = (1/4)ˣ, can be seen in the attached graph, following the given steps.
In the question, we are given the function, f(x) = (1/4)ˣ.
Step 1, has asked us to find the initial value of the graph, f(0).
This can be calculated by substituting x = 0, in the given function, which gives us:
f(0) = (1/4)⁰ = 1.
Step 2, has asked us to plot the initial value of the function at (0, 1). This is plotted using the graphing tools.
Step 3, has asked us to evaluate f(1) and f(-1). By substituting x = 1, and x = -1, we get:
f(-1) = (1/4)⁻¹ = 4,
f(1) = (1/4)¹ = 1/4.
Step 4, has asked us to plot the points (1, 1/4), and (-1, 4). This is plotted using the graphing tools.
Step 5, has made us identify the asymptote y = 0.
Step 6, gives us the final curve for the function, f(x) = (1/4)ˣ.
The provided question is incomplete. The complete question is:
"Graph: f(x) = (1/4)ˣ
Step 1: Calculate the initial value of the function. f(0) =
Step 2: Plot the initial value of the function at (0, 1).
Step 3: Evaluate the function at two more points. f(1) = 1/4, f(-1) = 4
Step 4: Plot the points (1, 1/4) and (-1, 4)
Step 5: Identify the horizontal asymptote of the function. The asymptote is the line y = 0
Step 6: The smooth curve that includes these points and approaches to the asymptote shows the graph of the function"
Learn more about graphing a function at
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