Which type of function is shown in the table below?
х
f(x)
1
4
2
2
3
1
4
0.5
5
0.25
![Which type of function is shown in the table below х fx 1 4 2 2 3 1 4 05 5 025 class=](https://us-static.z-dn.net/files/d84/3ad8116af11a649d7e516da2d475c338.png)
Answer:
Its a linear function
Step-by-step explanation:
2 - 4 / 2 - 1
-2 / 1
-2
y - 2 = -2 ( x - 2 )
y -2 = -2x + 4
y = -2x + 6
From the given data, the equation formed as y = -2x + 6 so, the given function is linear.
A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
From the given data, the slope of function.
m = (2 - 4) /( 2 - 1)
m = -2 / 1
m = -2
The equation will be
y - 2 = -2 ( x - 2 )
y -2 = -2x + 4
y = -2x + 6
Thus, the given function is a linear.
Learn more about linear equations;
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