Evaluate the piecewise function at the given values of the independent variable.

f (x) = { 4x+5 if x < 0

x+6 if x > = 0

(a) f (-1) (b) f (0) (c) f (2)

a) f (-1) = 1

b) f (0) = 6

c) f (2) = 8

Step-by-step explanation:

If x is lesser than 0, we have that:

f (x) = 4x + 5

Otherwhise

f (x) = x + 6

(a) f (-1)

Here x = - 1.

-1 is lesser than 0

Then

f (x) = 4x + 5

f (-1) = 4 * (-1) + 5 = - 4 + 5 = 1

(b) f (0)

Here x = 0

When x equals 0

f (x) = x + 6

Then

f (0) = 0 + 6 = 6

(c) f (2)

Here x = 2

When x = 2

f (x) = x + 6

Then

f (2) = 2 + 6 = 8