Is it Linear, Exponential or Quadratic

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What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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 the base (a positive real number), and x is the exponent. It shows rapid growth or decay.

Front

What is a quadratic function?

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. Its graph is a parabola.

Front

How can you identify a linear function from a set of points?

Back

A linear function will have a constant rate of change between any two points. If the differences in y-values divided by the differences in x-values are constant, the function is linear.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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 does it mean for a function to be exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase.

Tags

CCSS.HSF-IF.C.8B

Front

What does it mean for a function to be exponential decay?

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease.

Tags

CCSS.HSF-IF.C.8B

Front

How can you tell if a function is quadratic?

Back

A function is quadratic if it can be expressed in the form f(x) = ax^2 + bx + c, and its graph is a parabola that opens upwards or downwards.

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction the parabola opens.

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, indicating the steepness and direction of the line.

Tags

CCSS.8.EE.B.5