Unit 2 Flashcard Warm-Up

Front

What is the definition of a continuous function?

Back

A continuous function is a function that does not have any breaks, jumps, or holes in its graph. It can be drawn without lifting the pencil from the paper.

Front

What is an example of a continuous function in real life?

Back

The growth of a plant over time is an example of a continuous function, as it can be measured at any point in time.

Front

What is the definition of a discrete function?

Back

A discrete function is a function that consists of distinct or separate values. It is often represented by a set of points.

Front

What is an example of a discrete function in real life?

Back

The number of cars washed by Adam, where he earns $10 for each car, is an example of a discrete function.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where 'a' is a constant, 'b' is a positive real number, and 'x' is the exponent.

Front

What are the characteristics of an exponential growth function?

Back

Exponential growth functions increase rapidly and have a constant percentage rate of growth over time.

Front

What is the formula to calculate the slope of a line?

Back

The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward slant of the line.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

How can you identify the type of slope from a graph?

Back

You can identify the type of slope by observing the direction of the line: if it rises from left to right, it is positive; if it falls, it is negative.