The table can be created by substituting different values of x in the function.
Given to us,
function, [tex]\bold{y = f(x) =\dfrac{2}{3}x - 1}[/tex]
Part A: The function, ƒ(x) = 2/3x - 1, there is exactly one output value for each corresponding input value.
To do so, we will put value of x as -2, -1, 0, 1, 2, 3, 4, and 5. then we will substitute values of x to check whether the function gives different value of y for different values of x or not.
For, example, for x = 1,
[tex]\bold{y = f(x) =\dfrac{2}{3}x - 1}[/tex]
[tex]\bold{=[\dfrac{2}{3}\times(1)] - 1}[/tex]
[tex]\bold{=\dfrac{-1}{3}}[/tex]
Doing, so we will create a table as given in the image below, with the graph,
Part B: the points created in Part A to draw graph the function,
ƒ(x) =2/3 x - 1.
The image attached below shows the point with of the graphs, with graph.
Learn more about graph and equation:
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