DESMOS Brain Dump STAAR

Front

What is DESMOS?

Back

DESMOS is a digital calculator and graphing tool that allows users to visualize mathematical concepts and functions interactively.

Front

Define a function in mathematics.

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 is the purpose of graphing a function?

Back

Graphing a function helps visualize the relationship between variables, making it easier to understand the behavior of the function.

Front

Explain the concept of slope in a linear function.

Back

The slope of a linear function represents the rate of change of the function; it is calculated as the rise over run between two points on the line.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, indicating the value of the function when the input (x) is zero.

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set the output (y) of the function to zero and solve for the input (x).

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants.

Front

Describe the vertex of a parabola.

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens (upward or downward).

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots of a quadratic equation: if positive, there are two real roots; if zero, one real root; if negative, no real roots.

Front

Define a linear equation.

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form y = mx + b.