Evaluating Function Notation

The video tutorial introduces function notation, explaining its purpose and how it differs from traditional equation notation. It provides examples of evaluating functions using function notation, both algebraically and graphically. The tutorial also covers evaluating functions with specific domain values, demonstrating how to find corresponding range values. The video aims to clarify the concept of function notation and its practical applications in mathematics.

What does 'f of X' represent in function notation?

• The name of a function

• A constant value

• A type of mathematical operation

• A specific value of Y

What does the function name 'f' in f(x) indicate?

• The specific value of x

• The type of mathematical operation

• It is simply a label for the function

• The specific value of y

What is the domain in a function?

• The set of all possible X values

• The minimum value of X

• The set of all possible Y values

• The maximum value of X

In function notation, what does the 'range' refer to?

• The set of all possible outputs (Y values)

• The set of all possible inputs (X values)

• The maximum output value

• The minimum output value

If f(X) = 2X + 5, what is f(3)?

• 6

• 8

• 10

• 11

If G(x) = 1/2x - 2, what is G(-6)?

• -3

• -4

• -5

• -2

What does the ordered pair (-6, 7) represent in the context of a function graph?

• A function value where f(-6) = 7

• A maximum point on the graph

• A minimum point on the graph

• X intercept at -6 and Y intercept at 7

How do you find the value of a function from a graph at X = -4?

• Trace X = -4 on the Y-axis

• Trace X = -4 on the X-axis and find the corresponding Y value

• Calculate the area under the curve at X = -4

• None of the above

What is the range when the domain is {0, -2, 3} for the function J(x) = -4x + 1?

• {-11, 9, 1}

• {1, 9, -11}

• {9, 1, -11}

• {-11, 1, 9}

What is the output of H(x) = -x^2 when x = -1?

• -2

• 0

• 1

• -1