Evaluating Functions and Exponents

This video tutorial walks through solving a practice SAT math question involving a function G(x) = 4x - 4 raised to the power of x. The instructor demonstrates how to substitute a value into the function, convert expressions into radical form, simplify, and verify the result using a calculator. The final answer is confirmed to be -2.

What is the function given in the SAT math question?

• G(x) = 4x / 4^x

• G(x) = 4x - 4^x

• G(x) = 4x * 4^x

• G(x) = 4x + 4^x

What value is substituted for x in the function G(x)?

• 3

• 2

• 4

• 3/2

How is the expression 4^(3/2) written in radical form?

• Square root of 4 raised to the power of 3

• Fourth root of 3 squared

• Cube root of 4 squared

• Square root of 3 raised to the power of 4

What is the simplified value of 4^(3/2)?

• 4

• 6

• 8

• 10

What is the final value of G(3/2) after evaluation?

• -2

• 0

• 2

• 4

What is the first step in verifying the solution using a calculator?

• Check 4 - 3/2

• Check 4 + 3/2

• Check 4^(3/2)

• Check 4 * 3/2

What is the result of 4 * 3/2?

• 7

• 4

• 5

• 6

What is the result of 6 - 8?

• 2

• 0

• 4

• -2

What is the purpose of using parentheses in the calculator?

• To avoid syntax errors

• To separate different operations

• To make the expression look neat

• To ensure correct order of operations

What is confirmed by the calculator verification?

• The function value is 2

• The function value is 0

• The function value is 4

• The function value is -2