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whismanjames
19.03.2020 •
Mathematics
Classify the table of values.
x -3 -2 -1 0 1 2 3
f(x) 4 3.5 3 2.5 2 1.5 1
Question 2 options:
Linear
Exponential
Quadratic
None of these
Solved
Show answers
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Ответ:
Step-by-step explanation:
In the linear function y = mx + b, m is the slope which is a constant among all the values in the table, and b is the y intercept. The y-intercept exists where x = 0.
Looking at the y values of our table, it appears that they are decreasing by a constant 1/2. If this is linear, then that's our slope: -1/2.
Now looking at the coordinate where x = 0, we see that y is 2.5. Again, if this is linear, our equation is
Let's test it out. Let's plug in a 3 for x. If we solve and get that y = 1, then we know we have found the correct equation for the data:
-3/2 is the same thing as -1.5 so
y = -1.5 + 2.5 so
y = 1
In our table, we see that when x = 3, y = 1. So we're good!
Ответ:
pass
Step-by-step explanation: