Question

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Evaluate the piecewise function for x = -2 and x = 2, and x = 6
g(x)={9x−2 if x <-3
{x^2−3 if -3 ≤ x < 1
{5 if x≥1

Answer 1

HI!!

Answer 2

so for x=-2...
which inequality is -2 a member of ?

Answer 3

x<-3?
-3<=x<1?
x>=1?

Answer 4

the second one @freckles

Answer 5

-2 is in between -3 and 1 great
so we will use x^2-3 to evaluate x=-2

Answer 6

(-2)^2-3=?

Answer 7

1

Answer 8

yes so g(-2)=1

Answer 9

now to evaluate g at x=2
we need to look at the inequalities again

Answer 10

which inequality is 2 a member of

Answer 11

1st 2nd or 3rd?

Answer 12

3rd

Answer 13

yes so it says when we have that the x value is a member of x>=1 that g(x)=5
so g(2)=5

Answer 14

g(6) should be pretty easy for you now

Answer 15

what do you think g(6) equals?

Answer 16

http://prntscr.com/5vwsys

Answer 17

-2>-3