Evaluating Functions A12.B

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output value for a given input.

Front

How do you evaluate f(x) = 6(1-x) at x = -8?

Back

f(-8) = 6(1 - (-8)) = 6(1 + 8) = 6(9) = 54.

Front

Evaluate f(x) = -2x + 13 for f(-4).

Back

f(-4) = -2(-4) + 13 = 8 + 13 = 21.

Front

If f(x) = 2x + 5, find f(-3).

Back

f(-3) = 2(-3) + 5 = -6 + 5 = -1.

Front

What is the formula for the annual profit p(n) from selling n pies?

Back

p(n) = 52n - 0.05n^2.

Front

Calculate the annual profit if the baker sells 400 pies using p(n).

Back

p(400) = 52(400) - 0.05(400^2) = 20800 - 8000 = 12800.

Front

Given f(x) = -4x - 10, how do you find x when f(x) = 10?

Back

Set -4x - 10 = 10, solve for x: -4x = 20, x = -5.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.