Step-by-step explanation:
solving functions separately.
1st: from given data taxi charges $1.00 for the first mile.so it is first rule of function.
2nd: the company charge $0.20 per tenth of a mile.so 2nd rule of the function will be
simplifying
,
piece wise function is f(x)={2 , 0<x<1
{x , 1<x<2
the graph of the function is given below
Answer:
x = ±2, 3 are the critical points of the given inequality.
Step-by-step explanation:
The given inequality is
To find the critical points we will equate the numerator and denominator of the inequality to zero.
For numerator,
(x - 2)(x + 2) = 0
x = ±2
For denominator,
x² - 5x + 6 = 0
x² - 3x -2x + 6 = 0
x(x - 3) -2(x - 3) = 0
(x - 3)(x - 2) = 0
x = 2, 3
Therefore, critical points of the inequality are x = ±2, 3 where the sign of the inequality will change.