Question

Evaluating a Function

Answer 1

The function is

f(x)  =  2x + 5     When   x  <=  0

f(x)  =  2 - x^2    When   x  >  0

1)

f(-2)

Here x = -2 which means x < 0

Hence f(x) = 2x + 5

Substitute x = -2 in above function

f(-2)  =  2(-2) + 5

f(-2)  =  -4 + 5

f(-2)  =  1

 

2)

f(0)

Here x = 0

Hence f(x) = 2x + 5

Substitute x = 0 in above function

f(0)  =  2(0) + 5

f(0)  =  0 + 5

f(0)  =  5

 

3)

f(1)

Here x = 1 which means x > 0

Hence f(x) = 2 - x^2

Substitute x = 1 in above function

f(1) = 2 - (1)^2

f(1) = 2 - (1)

f(1)  =  1

Answer :

1)  f(-2)  =  1

2)  f(0)  =  5

3)   f(1)  =  1