Evaluating Exponents and Functions

The video tutorial explains how to evaluate functions f(x) and g(x) at various points, including positive, zero, and negative values. It demonstrates the use of substitution, exponent rules, and simplification techniques. The tutorial covers the calculation of f(x) for x=2, x=0, and x=-3, and g(x) for x=1, x=-1, and x=-4, highlighting the application of negative exponents and fraction powers.

What is the first step in evaluating f(2) for the function f(x) = 2 * 3^(x+1)?

• Add 1 to the exponent

• Subtract 1 from the exponent

• Raise 3 to the power of x

• Multiply by 2

What is the value of 3 raised to the power of 3?

• 81

• 27

• 9

• 3

How do you calculate f(0) for the function f(x) = 2 * 3^(x+1)?

• Substitute 0 for x and simplify

• Multiply by 3

• Add 1 to the result

• Divide by 2

What is the result of 3 raised to the power of 0?

• 0

• 1

• 9

• 3

What property is used to evaluate f(-3) for the function f(x) = 2 * 3^(x+1)?

• Product of powers property

• Zero exponent property

• Negative exponent property

• Quotient of powers property

What is the reciprocal of 3 squared?

• 9

• 1/3

• 1/9

• 3

What is the first step in evaluating g(1) for the function g(x) = 6 * (1/3)^(x+1)?

• Multiply by 6

• Square the fraction

• Subtract 1 from the exponent

• Add 1 to the exponent

What is the result of (1/3) squared?

• 1/9

• 9

• 1/6

• 1/3

What is the value of (1/3) raised to the power of 0?

• 0

• 1

• 1/3

• 3

How do you simplify 6 times 27?

• Multiply directly

• Use the distributive property

• Divide by 3

• Add 6 and 27