Evaluating Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's equation and simplify.

Front

Evaluate f(x) = −2x + 13 at x = 10.

Back

f(10) = −2(10) + 13 = −20 + 13 = −7.

Front

Evaluate f(x) = x² − 5x at x = 4.

Back

f(4) = 4² − 5(4) = 16 − 20 = −4.

Front

What is the output of g(x) = 5 − 6x when x = −5?

Back

g(−5) = 5 − 6(−5) = 5 + 30 = 35.

Front

Evaluate f(t) = −2t² + 1 at t = −3.

Back

f(−3) = −2(−3)² + 1 = −2(9) + 1 = −18 + 1 = −17.

Front

Evaluate f(x) = −2x − 12 at x = −5.

Back

f(−5) = −2(−5) − 12 = 10 − 12 = −2.

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 (f(x) values) that the function can produce.