Question

Evaluate the piecewise function at the given values of the independent variable. f left parenthesis x right parenthesis equals A left bracket. 5 x plus 4 if x less than 0 2 x plus 6 if x greater than or equals 0 ​(a) f left parenthesis negative 2 right parenthesis ​(b) f left parenthesis 0 right parenthesis ​(c) f left parenthesis 2 right parenthesis

Answer 1

Answer:

a. f(-2) = -6

b. f(0) = 6

c. f(2) = 10

Step-by-step explanation:

The function is given as:

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

f(x) = 2x + 6                                      if x ≥ 0

(a) f(-2)

x < 0:

=> f(-2) = 5(-2) + 4

f(-2) = -10 + 4

f(-2) = -6

(b) f(0)

x ≥ 0:

=> f(0) = 2(0) + 6

f(0) = 6

(c) f(2)

x ≥ 0:

=> f(2) = 2(2) + 6

f(2) = 4 + 6

f(2) = 10