Algebra 1H Unit 10 Review - Function Features

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Tags

CCSS.8.F.A.1

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function intersects the y-axis, represented as (0, y).

Front

How do you find the average rate of change of a function on an interval?

Back

The average rate of change of a function f(x) on the interval [a, b] is calculated as (f(b) - f(a)) / (b - a).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the value of f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the value of f(x) decreases.

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.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

How do you determine if a function is even, odd, or neither?

Back

A function is even if f(-x) = f(x), odd if f(-x) = -f(x), and neither if it does not satisfy either condition.

Tags

CCSS.HSF.BF.B.3