Question

What is the value of f(-4)?
f(x){-2 if x < -3
{4x if -3 _<_ x _<_ -1
{x 2 if x > -1

A.4
B.16
C.-16
D.-2

Answer 1

in which range does -4 lies in?

is it less than -3
or
greater than -1
or
between -3 and -1
?

Answer 2

@hartnn between -3 & -1

Answer 3

..... -6 -5 \(\Large -4\) -3 -2 -1 0 1 2 3 .....

so you see?
-4 is actually less than -3!

Answer 4

okay

Answer 5

if you see the function definition

f(x){-2 if x < -3
{4x if -3 _<_ x _<_ -1
{x 2 if x > -1

f(x) is defined as -2 (a constant) for x<-3

so for x =-4, the value of f(-4) will be just -2 :)

Answer 6

thank you

Answer 7

welcome ^_^