15. The graph of a linear function, f(x), is shown below. If the line is translated 2 units
1 answer:
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Part 1
Answer: -9
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Explanation:
Let's focus on evaluating first. We need to look at the table and locate f(x) = 13. So we're looking in the f(x) row where 13 shows up. That's in the second to last column. Right above that we have x = 5
This means f(5) = 13 and The inverse undoes the f(x) function. So the input x and output y values swap places. This is why we're reading the table in reverse.
<em>We can replace all of </em><em> </em>
<em> with 5 to go from </em>
<em> to </em>
<em> </em>
<em>Then we repeat the process of using the table. Locate 5 in the f(x) row. This is in the last column. The value above that is x = -9.</em>
<em>So f(-9) = 5 and </em>
<em>Overall, </em>
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Part 2
Answer: -13
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Explanation:
Same idea as before. Locate 8 in the f(x) row. The value above this is x = -13
<em>This means f(-13) = 8 and </em>