Evaluating Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs, known as the domain.

Front

What does it mean to evaluate a function?

Back

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

Front

How do you evaluate a function at a specific point, such as f(-5)?

Back

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

Front

What is the absolute value function?

Back

The absolute value function, denoted as |x|, returns the non-negative value of x, regardless of its sign.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the value of a quadratic function at a specific point?

Back

To find the value of a quadratic function at a specific point, substitute the x-value into the function and simplify.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you evaluate a linear function like f(x) = -1/2x + 3?

Back

To evaluate the linear function, substitute the x-value into the equation and calculate the corresponding y-value.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output when x = 0.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph, meaning it can be drawn without lifting the pencil.