Video: Graphing Linear Functions by Making Tables

Let us consider the function 𝑓(π‘₯) = 8π‘₯ βˆ’ 11. Fill in the table. Identify the three points that lie on the line 𝑦 = 8π‘₯ βˆ’ 11.

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Video Transcript

Let us consider the function 𝑓 of π‘₯ equals eight π‘₯ minus 11. Fill in the table.

In the row of π‘₯, we have negative one, zero, and one. And then we need to fill in the row for 𝑦 equals 𝑓 of π‘₯. So we need to take our function and plug in these π‘₯-values, which will be found here. So once again, we need to plug in negative one, zero, and one into our function.

So let’s begin with negative one. So we take our function of eight π‘₯ minus 11 and we replace π‘₯ with negative one. Eight times negative one is negative eight and negative eight minus 11 is negative 19. So we fill this in in our table.

Now, let’s evaluate 𝑓 of zero. So we replace π‘₯ with zero and eight times zero is zero and zero minus 11 is negative 11. So we fill that in. And lastly, we need to plug in positive one. So we replace π‘₯ with one. And eight times one minus 11 we need to evaluate. So eight times one is eight and eight minus 11 is negative three.

And we fill that in in our table. And now, our table is completely filled in. So when we plugged in negative one, we got an answer of negative 19. When we plugged in zero, we had got an answer of negative 11. And when we plugged in one, we got an answer of negative three.

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