Comparing Functions

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.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is an exponential function?

Back

An exponential function is a function of the form y = ab^x, where a is a constant, b is a positive real number, and x is the exponent. It grows rapidly as x increases.

Front

What is a quadratic function?

Back

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

Front

How can you identify a linear function from a table of values?

Back

A linear function will have a constant rate of change between the x-values and y-values. The differences in y-values divided by the differences in x-values will be the same.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What does it mean for a function to be neither linear nor exponential?

Back

A function that is neither linear nor exponential does not fit the characteristics of either type, often showing a more complex relationship between variables.

Front

What is the general shape of a quadratic function's graph?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of the leading coefficient (a).

Tags

CCSS.HSF-IF.C.7A

Front

How do you determine if a function is exponential from a graph?

Back

An exponential function's graph will show a rapid increase or decrease, curving upwards or downwards, rather than forming a straight line.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, indicating the value of y when x = 0.

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two variables by displaying data points on a Cartesian plane.

Tags

CCSS.8.SP.A.1

Front

How can you tell which graph represents linear growth?

Back

A graph representing linear growth will show a straight line with a constant slope, indicating a consistent rate of change.

Tags

CCSS.8.EE.B.5