Write a linear function f with f(0)=2 and f(2)=4.

The linear function f with f(0)=2 and f(2)=4 is:

f(x)  =  x  +  2

The given points are:

f(0)  =  2  and  f(2)  =  4

That is,  x₁  =  0,  y₁  =  2,  x₂ = 2,  y₂  =  4

The slope of the linear function is calculated as shown below

The point-slope form of a linear equation is given as:

Substitute x₁  =  0,  y₁  =  2 and m = 1 into the point-slope equation above

The linear function is:

f(x)  =  x  +  2

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Given:

A linear function f with f(0)=2 and f(2)=4.

To find:

The linear function.

Solution:

If , then function passes through the point (x,y).

A linear function f with f(0)=2 and f(2)=4. It means, the function passes through (0,2) and (2,4). So, the equation of linear function is

Adding 2 on both sides, we get

The function form of the equation is

Therefore, the required linear function is .

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step-by-step explanation:

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: