Exam Review Flashcardizz (Desmos Able Questions)

Front

What is the purpose of using Desmos in mathematics education?

Back

Desmos is an interactive graphing calculator that helps students visualize mathematical concepts, explore functions, and understand relationships between variables.

Front

Define a function in mathematical terms.

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 difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while nonlinear functions have variable rates of change and can graph as curves.

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 (change in y over change in x).

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 y when 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 two, 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 whether it opens upwards or downwards.

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 system of equations.

Back

A system of equations is a set of two or more equations with the same variables, which can be solved simultaneously to find the values of the variables.