Linear or Exponential

Front

What is a linear graph?

Back

A linear graph is a graph that represents a linear relationship between two variables, where the change in one variable is constant with respect to the other. It forms a straight line.

Front

What is an exponential graph?

Back

An exponential graph is a graph that represents an exponential relationship between two variables, where one variable grows or decays at a constant percentage rate over time. It forms a curve that increases or decreases rapidly.

Front

How can you identify a linear table?

Back

A linear table shows a constant rate of change between the values of the independent and dependent variables. The differences between consecutive y-values are constant.

Front

How can you identify an exponential table?

Back

An exponential table shows a variable rate of change, where the ratio of consecutive y-values is constant. The values increase or decrease by a multiplicative factor.

Front

What is a linear situation?

Back

A linear situation is a real-world scenario where the relationship between two quantities can be represented by a linear equation, resulting in a straight-line graph.

Front

What is an exponential situation?

Back

An exponential situation is a real-world scenario where one quantity grows or decays at a constant percentage rate, leading to an exponential equation and a curved graph.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the general form of an exponential equation?

Back

The general form of an exponential equation is y = ab^x, where a is the initial value, b is the growth (b > 1) or decay (0 < b < 1) factor, and x is the exponent.

Front

What does the slope of a linear graph represent?

Back

The slope of a linear graph represents the rate of change of the dependent variable with respect to the independent variable.

Front

What does the base of an exponential function represent?

Back

The base of an exponential function represents the growth or decay factor. If the base is greater than 1, the function represents growth; if it is between 0 and 1, it represents decay.