The function f(x) = (3/4)ˣ has its graph to be graph (a) and the table to be:
x -2 -1 0 1 2
y 16/9 4/3 1 3/4 9/16
<h3>How to find the table and graph for function f(x)</h3>
From the question, we have the following equation that can be used in our computation:
f(x) = (3/4)ˣ
This function is an exponential function
The x values present on the tables of values are
x = -2, -1, 0, 1 and 2
These values are to be used to calculate the f(x) values of the function
To do this, we simply substitute x = -2, -1, 0, 1 and 2 f(x) = (3/4)ˣ
The above highlights give:
f(-2) = (3/4)⁻² = 16/9
f(-1) = (3/4)⁻¹ = 4/3
f(0) = (3/4)⁰ = 1
f(1) = (3/4)¹ = 3/4
f(2) = (3/4)² = 9/16
This means that the table of values is
x: -2 -1 0 1 2
y: 16/9 4/3 1 3/4 9/16
Next, we plot the graph of the function using the values in the above table
The graph that passes through the points in the above table (i.e. (-2, 16/9), (-1, 4/3).....) is graph (a)
Hence, the graph of the function is graph (a)
Read more about exponential functions at
brainly.com/question/11464095
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