University:
Highline College
Course:
MATHP 141 | Precalculus I Plus Extra Support
Academic year:

2025
Views:

361

Pages:

11
Author:

customer-8255878

Lecture-II 04.05.2025 Quadratic Function [ax²+bx + c = f(x) Ex. f(x) = x² (x) Input 01/23 41-1-2-3 - 41/2 utput f(x)=x o 14916 149 16 4 Ex: f(x) = x²³² (Cubic Polynomial) 0 0 -1 2 3 -21 -1827-8 f(x) 3 f(-1) = (-1)²= (-1) (1) (-1) = -1. f(2)= (2) = 8, f(-2) = (-2)(2)(-2)=-8 (Homework) Rational Function F(x) = f(x) g(x) ز where g(x)=0. for any value of x F(x) = 1/x ; f(x) = 1 , g(x) = x ? For x = 0 , g(0) = 0 , 20, 7 F(0) = ㅎ; Undefined 20, we define F(x) = ㄤ ; where x x=0. x 2 34 F(x)=1ㅎㅎ 4 1 2 -2 3 3 |-2 so on. F(1/2) = 1/(1/2) = 2 F(1/3) = 1/(1/3) = 3 Ex: F(x) = 1/(x ^ 2) (H.W.). Evaluate f at indicated values f(x) = 2x - 5 (linear Fun) f(2) = 2 * 2 - 5 = 4 - 5 = - 1 . f(- 3) = - 11 . For any real no. 'a', C f(a) = 2a - 5 . (b f(x) = - 5x ^ 2 + 2x - 1 (quadraic) f(1) = - 5 * (1) ^ 2 + 2(1) - 1 = - s * 1 + 2 - 1 = - s + 2 - 1 = -7+2 = -5 f(1) = - 5 الی f(2) = - 5 * (2) ^ 2 + 2(2) - 1 = - s * 0.4 + 4 - 1 = - 20 + 4 - 1 = -21+4= -17 f(x) = x+2 (Rational) Here, 5x+2≠0 9. For what value of x, f(x) is not defined ? Ans. For 5x+2=0, f(x) is not defined. 20, for x=== f(x) -2 is not defined. f(o) = (6o - 1)/(5o + 2) = - 1/2