How many discontinuities does the piecewise function have.?

Answer is 3.

The function is not continuous at the points

x=-3: x=3 and x = 5

Explanation:

Consider the left and right limits of the funciton at these points.

i) x=-3

Left limit =

right limit = [/tex]2/3  (9)-1 = 5[/tex]

Since left limit not equals right limit not continuous at x =-3

ii) x=3

Left limit = 5 and right limit = -7(3)/2+29/2 = 4

Since left limit not equals right limit not continuous at x =3

iii) x=5

Left limit = 7(5)/2+29/2 = 32

Right limit = log (2*5-4) = log 6

Since left limit not equals right limit not continuous at x =5.

Thus there are 3 discontinuities.

12cm

the answer is d

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2