Evaluate 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

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

What is the notation for a function?

Back

The notation for a function is typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line, and it has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

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 find the value of a function at a given point?

Back

To find the value of a function at a given point, substitute the x-value into the function's equation and calculate the result.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax^2 + bx + c.

Front

How do you evaluate a quadratic function?

Back

To evaluate a quadratic function, substitute the x-value into the equation and simplify to find the corresponding y-value.

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

Front

What is the formula for finding the vertex of a quadratic function in standard form?

Back

The vertex (h, k) of a quadratic function in standard form f(x) = ax^2 + bx + c can be found using h = -b/(2a) and k = f(h).