Question

Write a function rule for the statement, “The output is 4 less than the input.” Then, complete the table.

Answer 1

Answer:5

Step-by-step explanation:

Answer 2

Answers:

• Slope:  1
• y-intercept:  -4
• equation:     y = x-4
• y outputs: -4, -3, -2, -1, 0

Those y outputs are placed into the table in the order shown. For instance, -1 goes right underneath the '3'.

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Explanation:

Let's find the equation first. The function rule is "the output is 4 less than the input". So whatever the input x is, we subtract off 4 to get the output y.

This leads directly to the equation y = x-4

This is the same as saying y = 1x-4 which is in the form y = mx+b

m = 1 is the slope and b = -4 is the y intercept

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Once we have the equation, we plug in the given input x values one at a time to find their corresponding y values.

For example, if x = 0, then,

y = x-4

y = 0-4

y = -4

So we have x = 0 pair up with y = -4. We write -4 underneath the 0 in the table given.

Then we write -3 under the "1" in the table because

y = x-4

y = 1-4

y = -3

And so on. Repeat this process until you get to x = 4.

You should have these ordered pairs

• x = 0, y = -4
• x = 1, y = -3
• x = 2, y = -2
• x = 3, y = -1
• x = 4, y = 0