Evaluating Functions

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 by substituting the input into the function's formula.

Front

Evaluate f(x) = 2x^2 + 5x - 3 for f(-1).

Back

f(-1) = -6.

Front

Evaluate f(t) = -2t^2 + 1 for f(-3).

Back

f(-3) = -17.

Front

What is the formula for a quadratic function?

Back

A quadratic function is generally expressed as f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

Evaluate f(x) = 5x + 3 for f(4x).

Back

f(4x) = 20x + 3.

Front

What is the value of f(1) for f(x) = -x^2 - 9x + 7?

Back

f(1) = -3.

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 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.