Unit 6 Hw#3: 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 input into the function's equation and simplify.

Front

What is the value of f(6) for the function f(x)=3x-8?

Back

f(6) = 3(6) - 8 = 18 - 8 = 10.

Front

Evaluate f(2) when f(x)=x²+x-12.

Back

f(2) = 2² + 2 - 12 = 4 + 2 - 12 = -6.

Front

Given f(x)= 2x² + 5x - 17, find f(-1).

Back

f(-1) = 2(-1)² + 5(-1) - 17 = 2(1) - 5 - 17 = 2 - 5 - 17 = -20.

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.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form f(x) = ax² + bx + c, where a, b, and c are constants.