Interpreting Function Notation in Algebra 1

This video tutorial focuses on interpreting function notation, using examples like p(3)=12 to explain how inputs and outputs relate to real-world situations. It covers how graphs can help interpret function notation, using a tub draining example. The video also explains defining functions with rules, creating tables, and graphing functions. It concludes with solving for inputs and outputs using function rules.

What does the expression 'p of 3 equals 12' signify in a functional context?

• The function p outputs 12 when the input is 3.

• The function p has 3 outputs for the input 12.

• The function p decreases by 12 when the input is 3.

• The function p increases by 3 when the input is 12.

If 'p of x equals 32' in a square's perimeter function, what is the side length x?

• 16 inches

• 8 inches

• 4 inches

• 32 inches

What does the point (2, 5) on the graph of function f indicate about the water depth?

• 2 inches deep at the start

• 2 inches deep after 5 minutes

• 5 inches deep after 2 minutes

• 5 minutes after the tub starts to drain

How do you calculate the output of function f using the rule in function notation?

• Add 2 to the input and multiply the result by 5

• Multiply the input by 5 and add 2

• Divide the input by 2 and add 5

• Subtract 2 from the input and divide by 5

What is the output of function m when the input x is 4?

• 1

• 2

• 3

• 4

Using the function rule 'f of x equals 5 times (x plus 2)', what is f of 100?

• 102

• 510

• 520

• 500

If the function m is defined as 'm of x equals 3 minus one half x', what is m of 6?

• 3

• 0

• 9

• 6

How can you find the input x for function f if the output is 65?

• x equals 13

• x equals 10

• x equals 11

• x equals 65

What type of function is described by a constant rate of change?

• Logarithmic function

• Linear function

• Quadratic function

• Exponential function

What does the graph of a linear function look like?

• A series of points

• A straight line

• A parabola

• A curve