Unit 4: Functions Review

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.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set f(x) = 0 and solve for x.

Front

How do you find the y-intercept of a function?

Back

To find the y-intercept, evaluate f(0).

Front

What is the maximum height in a function's context?

Back

The maximum height refers to the highest point on the graph of a function, often found at the vertex of a parabola.

Front

What does it mean if a function is undefined at a certain point?

Back

It means that there is no output for that input, often due to division by zero or taking the square root of a negative number.

Front

How do you evaluate f(x) for a specific value of x?

Back

Substitute the specific value of x into the function's equation and simplify to find f(x).

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a quadratic function has a variable rate of change and graphs as a parabola.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the domain of a function?

Back

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