Characteristics of Functions

Front

What are the zeros of a function?

Back

The zeros of a function are the values of x for which the function equals zero. They are the points where the graph intersects the x-axis.

Tags

CCSS.HSF-IF.C.7D

Front

What are x-intercepts?

Back

X-intercepts are the points on the graph of a function where the value of y is zero. They are the same as the zeros of the function.

Tags

CCSS.HSF-IF.C.7C

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 whether it opens upwards or downwards.

Front

What does it mean if a function has a maximum?

Back

A function has a maximum if there is a highest point on its graph, meaning the function reaches a peak value.

Front

What does it mean if a function has a minimum?

Back

A function has a minimum if there is a lowest point on its graph, meaning the function reaches a lowest value.

Front

What type of function is represented by a U-shaped graph?

Back

A U-shaped graph represents a quadratic function.

Tags

CCSS.HSF-IF.C.7A

Front

What type of function is represented by a straight line?

Back

A straight line represents a linear function.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What type of function is represented by a curve that increases rapidly?

Back

A curve that increases rapidly represents an exponential function.

Tags

CCSS.HSF-IF.C.7E

Front

How can you identify a quadratic function from its equation?

Back

A quadratic function can be identified by its standard form: f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the standard form of a linear function?

Back

The standard form of a linear function is 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