Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the given input value into the function's equation and simplify to find the output.

Front

Evaluate g(m) = 17 - 2.5m; Find g(5)

Back

g(5) = 17 - 2.5(5) = 4.5.

Front

Evaluate f(x) = -3x + 3; Find f(2)

Back

f(2) = -3(2) + 3 = -3.

Front

Evaluate f(x) = x + 3; Find f(-7)

Back

f(-7) = -7 + 3 = -4.

Front

Evaluate k(d) = 18d - 5; Find k(-2)

Back

k(-2) = 18(-2) - 5 = -41.

Front

Evaluate f(x) = x - 2; Find f(-7)

Back

f(-7) = -7 - 2 = -9.

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.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.