Function Evaluation and Analysis

Miss Smith's math tutorial introduces function notation, explaining its interchangeability with Y. The video provides examples of using function notation with different X values and demonstrates solving for X using algebra. It also offers tips on using a calculator to efficiently solve function notation problems. Advanced examples are presented, highlighting algebraic steps involved in function notation.

What does f(x) represent in function notation?

• The y-coordinate

• The slope of a line

• The x-coordinate

• The derivative of a function

If f(x) = x^2 + 3, what is f(2)?

• 5

• 7

• 9

• 11

How do you solve for x if f(x) = 28 and f(x) = x^2 + 3?

• Divide 28 by 3 and take the square root

• Multiply 28 by 3 and take the square root

• Add 3 to 28 and take the square root

• Subtract 3 from 28 and take the square root

What is the benefit of using a calculator for function evaluation?

• It automatically graphs the function

• It can solve equations without any input

• It allows for quick evaluation of multiple values

• It provides exact solutions for all equations

Which function is used to input equations in a calculator for evaluation?

• Solve function

• Table function

• y= function

• Graph function

If f(x) = 4x + 1, what is f(4)?

• 15

• 18

• 16

• 17

For g(x) = 2x^2 + 7x, what is g(-3)?

• -12

• 9

• 0

• 3

How do you evaluate h(x) = 5x + 2 for x = 0?

• 2

• 0

• 5

• 7

What is the result of distributing 4 in the expression 4(3m + 4) + 1?

• 12m + 17

• 12m + 16

• 12m + 18

• 12m + 5

If h(x) = -5x + 2, what is h(2C)?

• 10C - 2

• 10C + 2

• -10C - 2

• -10C + 2