SaiBook.us SAT-2

Lesson Example Discussion Quiz: Class Homework

Example

Title: Polynomial functions

Grade: 1400-a Lesson: S2-L2

Explanation: The best way to understand SAT-2 is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

Consider the polynomial function
\$f(x) = 2x^3 - 5x^2 + 3x - 1\$. Find the value of f(2).

Step 1a

To find the value of f(2), we substitute x = 2 into the given polynomial function:
\$f(2) = 2(2)^3 - 5(2)^2 + 3(2) - 1\$

Explanation: To evaluate f(2), substitute x = 2 into the polynomial function, and then replace x with 2 in the resulting expression to find f(2).

Step 1b

f(2) = 2(8) - 5(4) + 6 - 1

f(2) = 16 - 20 + 6 - 1

f(2) = 1

Therefore, f(2) = 1.

Explanation: Simplifying the function yields f(2) = 1. This is obtained by evaluating 2(8) - 5(4) + 6 - 1 is 1.