Questions: Graph y=f(x), where f(x)=3x-2.

Graph y=f(x), where f(x)=3x-2.
Transcript text: Graph $y=f(x)$, where $f(x)=3x-2$.
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Solution

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Solution Steps

Step 1: Find the y-intercept

The y-intercept is the value of _f(x)_ when _x_ = 0. _f(0)_ = 3(0) - 2 = -2

The y-intercept is (0, -2).

Step 2: Find the x-intercept

The x-intercept is the value of _x_ when _f(x)_ = 0. 0 = 3_x_ - 2 2 = 3_x_ _x_ = 2/3

The x-intercept is (2/3, 0).

Step 3: Plot the intercepts and draw the line

Plot the two points (0, -2) and (2/3, 0) on the graph. Since _f(x)_ is a linear function, draw a straight line passing through both of these points.

Final Answer:

The graph of the function _f(x)_ = 3_x_ - 2 is a straight line that passes through the points (0,-2) and (2/3, 0).

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