Evaluating Functions and Expressions

This video tutorial covers the SAT math topic of evaluating functions. It begins with an introduction to function notation and basic evaluation, followed by an explanation of composite functions. The video then goes through seven practice problems from official SAT practice tests, demonstrating how to solve them step-by-step. The tutorial concludes with final thoughts and additional resources for further study.

What is the main topic covered in this video?

• SAT Math: Evaluating Functions

• SAT Math: Geometry

• SAT Math: Algebra

• SAT Math: Trigonometry

How is the expression f(x) = 3x + 2 read?

• f times x equals 3x plus 2

• f divided by x equals 3x plus 2

• f of x equals 3x plus 2

• f plus x equals 3x plus 2

What is the result of evaluating f(5) for the function f(x) = 3x + 2?

• 17

• 20

• 15

• 18

When evaluating f(x + 4) for f(x) = 3x + 2, what is the resulting expression?

• 3x + 12

• 3x + 14

• 3x + 6

• 3x + 8

In a composite function f(g(x)), which part should be evaluated first?

• Neither

• f(x)

• Both simultaneously

• g(x)

What is the result of H(5) - H(3) for H(x) = 2^x?

• 16

• 32

• 40

• 24

For f(x) = -2x + 5, what is f(-3x)?

• 6x + 5

• 6x - 5

• -6x + 5

• -6x - 5

If f(x) = 3/2x + B and f(6) = 7, what is the value of B?

• 2

• 0

• -2

• 4

What is the shortcut for evaluating G(4) and G(-4) when G(x) involves x squared?

• G(4) > G(-4)

• G(4) = -G(-4)

• G(4) < G(-4)

• G(4) = G(-4)

What is the value of a if f(x + a) = 5x^2 + 30x + 42 and f(x) = 5x^2 - 3?

• 4

• 3

• 2

• 1