Question

B) Sketch the graph of a function y= (x-1)(x-2)(x-3) with required properties. [3]​

Answer 1

Answer:

needed. To find the x-intercepts, we set y = 0. Since y = f(x), this means f(x) = 0. f(x) = x2 − x − 6. 0 = x2 − x − 6. 0 = (x − 3)(x + 2) factor.

Answer 2

Answer:

y=∣x+2∣+∣x−3∣

case 1

Let x>3

y=x+2+x−3,

y=2x−1,

y−2x=−1,

−1

y

+

2

1

x

=1. case 2

Let x<3 & x>−2

y=x+2−x+3,

y=5. case 3

Let x<−2

y=−x−2−x+3,

y=−2x+1,

y+2x=1.