8th Alge8th Gr Review Writing and Comparing Linear, Exponential

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an exponential function?

Back

An exponential function is a function of the form f(x) = a(b^x), where a is a constant, b is the base, and x is the exponent. It shows rapid growth or decay.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis. It occurs when x = 0.

Front

How do you determine if a function is linear or exponential from a table of values?

Back

If the differences between consecutive y-values are constant, the function is linear. If the ratios of consecutive y-values are constant, the function is exponential.

Front

What does it mean for a function to be quadratic?

Back

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

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when the base of the exponential function is greater than 1, leading to increasing values. Exponential decay occurs when the base is between 0 and 1, leading to decreasing values.

Front

How can you identify a quadratic function from its graph?

Back

A quadratic function's graph is a parabola, which opens upwards or downwards. It has a vertex and may have a y-intercept.

Front

What is the slope of a linear function?

Back

The slope of a linear function is the ratio of the change in y to the change in x, often represented as 'm' in the equation y = mx + b.

Front

What is a function model?

Back

A function model is a mathematical representation of a real-world situation, often used to predict outcomes based on input values.