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How do you graph the linear function #f(x)=-2x+1#?

Answer 1

See the explanation below.

First, the slope-intercept equation of a line is #y=mx+b#.

#b# is the y-intercept, or the point where the line crosses the y-axis. In this equation, #b = 1#. You can plot this point on the y-axis.

Next, you know that the slope is #m=-2#. Slope is basically #(rise)/(run)#, so you go down -2 units and move right 1 unit. Start at the point you already plotted (0,1) and plot each point from there.

graph{y = -2x +1 [-9.96, 10.04, -3.8, 6.2]}

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Answer 2

Kennedy Adams

To graph the linear function ( f(x) = -2x + 1 ), you can follow these steps:

Choose a range of values for ( x ), usually including some negative and positive values.
Plug each value of ( x ) into the function to find the corresponding ( y ) values.
Plot the points ( (x, y) ) on the coordinate plane.
Connect the points with a straight line.

That's it.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.