Test Review Q2 Pre Calculus

Front

What is Exponential Growth?

Back

A type of function where the value increases rapidly as the input increases, typically represented by the formula f(x) = a * b^x, where b > 1.

Front

What is Exponential Decay?

Back

A type of function where the value decreases rapidly as the input increases, typically represented by the formula f(x) = a * b^x, where 0 < b < 1.

Front

What is a Linear Function?

Back

A function that graphs to a straight line, represented by the formula f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a Geometric Sequence?

Back

A sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

How do you find the explicit formula for a geometric sequence?

Back

The explicit formula is given by a(n) = a(1) * r^(n-1), where a(1) is the first term and r is the common ratio.

Front

What does a reflection transformation do to a function?

Back

It flips the graph of the function over a specified axis, such as the x-axis or y-axis.

Front

What is a residual plot?

Back

A graph that shows the residuals on the vertical axis and the independent variable on the horizontal axis, used to assess the fit of a regression model.

Front

What does it mean if a linear regression model is appropriate for a dataset?

Back

It means that the relationship between the independent and dependent variables can be well represented by a straight line.

Front

What is the Rate of Change in a function?

Back

The rate of change describes how a quantity changes in relation to another quantity, often represented as the slope in linear functions.

Front

What is the formula for the slope of a line?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) for two points (x1, y1) and (x2, y2) on the line.