Q: Is throwing a ball a linear function?

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The precision of a linear approximation is dependent on the concavity of the function. If the function is concave down then the linear approximation will lay above the curve, so it will be an over-approximation ("too large"). If the function is concave up then the linear approximation will lay below the curve, so it will be an under-approximation ("too small").

Yes, 2y = 8 is a linear function. 2y = 8 is the same as y=8/2, or y=4, which is a vertical line.

No. 1a and 3d are linear, but 2bc is not. ■

yes

A linear equation

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No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.

Throwing the ball.

Assuming the domain is unbounded, the linear function continues to be a linear function to its end.

No. An exponential function is not linear. A very easy way to understand what is and what is not a linear function is in the word, "linear function." A linear function, when graphed, must form a straight line.P.S. The basic formula for any linear function is y=mx+b. No matter what number you put in for the m and b variables, you will always make a linear function.

No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.

Throwing the ball.

It will just be the gradient of the function, which should be constant in a linear function.

No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.

it is impossible for a linear function to not have a y-intercept

As a linear function

Your age is a linear function (of time).

No. A function need not be linear. For example, y = sin(x) is a function of x but it is not a linear equation.