Review of Function Notation and Evaluating Functions

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

Tags

CCSS.HSF.IF.A.2

Front

What does f(x) = -2 mean?

Back

It means that the output of the function f for a specific input x is -2.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If f(x) = x^2 - 8, what is f(2)?

Back

f(2) = 2^2 - 8 = 4 - 8 = -4.

Tags

CCSS.HSF.IF.A.2

Front

What is the difference between f(2) and f(3) if f(x) = x^2 - 8?

Back

f(2) - f(3) = (-4) - (1) = -5.

Tags

CCSS.HSF.IF.A.2

Front

What is the output of h(e) = 5^(e+3) when e = 11?

Back

h(11) = 5^(11+3) = 5^14 = 6103515634.

Tags

CCSS.HSF-IF.C.8B

Front

How can you express the point where f(2) = 4?

Back

You can express it as the ordered pair (2, 4).

Tags

CCSS.HSF.IF.A.2

Front

What is the significance of the ordered pair (x, f(x))?

Back

The ordered pair (x, f(x)) represents a point on the graph of the function, where 'x' is the input and 'f(x)' is the output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean if a function is evaluated at a negative number?

Back

Evaluating a function at a negative number means substituting that negative value into the function's equation.

Tags

CCSS.HSF.IF.A.2

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.