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Lesson · Functions of several variables

A function of two variables takes a pair of inputs and gives back one number, like f(x,y)=x2+3yf(x, y) = x^2 + 3y. Think of f(x,y)f(x, y) as the height of a landscape above the point (x,y)(x, y) on the ground.

To evaluate it, plug in both numbers.

Find f(−2,−1)f(-2, -1) for f(x,y)=3x2+3yf(x, y) = 3x^2 + 3y.

f(x,y)=3x2+3yf(x, y) = 3x^{2} + 3y
f(−2,−1)=f(-2, -1) =