Evaluating Functions and Exponents

The video tutorial explains how to evaluate functions by substituting values into the function's variable and performing the necessary calculations. It covers the evaluation of two functions, f(x) and g(x), using specific examples. The process involves replacing the variable with a given number and calculating the result step-by-step, demonstrating the use of function notation and arithmetic operations.

What is the first step in evaluating a function?

• Performing all arithmetic operations

• Plugging in a value for the variable

• Writing the function in standard form

• Solving for x

What does the notation f(x) represent?

• A variable

• A constant

• An equation

• A function

In the function f(x), what does f(-4) mean?

• Replace x with -4

• Multiply x by -4

• Replace x with 4

• Add -4 to x

What is the result of -4 raised to the power of 3?

• 12

• -64

• 64

• -12

What is the final value of f(-4) in the given function?

• 187

• 87

• -187

• -87

What operation is performed after substituting -4 in f(x)?

• Addition

• Subtraction

• Multiplication

• Division

What is the purpose of using parentheses in the expression 3(-4)^3?

• To indicate multiplication

• To clarify the exponentiation

• To separate terms

• To change the order of operations

What is the result of adding 5 to -192?

• 187

• -187

• 197

• -197

What is the exponent in the expression (-4)^3?

• 5

• 4

• 3

• 2

What does g(-3) require you to do with the variable x?

• Replace x with -3

• Replace x with 3

• Add 3 to x

• Multiply x by 3