SOLUTION: f(x)= x+4 for -3&#8804;x<1 8 for x=1 -x+3 for x>1 a) Find the domain b) find the range c) find the intercepts d) IS f continuous on its domain? If not,

Algebra ->  Functions -> SOLUTION: f(x)= x+4 for -3&#8804;x<1 8 for x=1 -x+3 for x>1 a) Find the domain b) find the range c) find the intercepts d) IS f continuous on its domain? If not,       Log On


   

Question 929955: f(x)= x+4 for -3≤x<1
8 for x=1
-x+3 for x>1

a) Find the domain
b) find the range
c) find the intercepts
d) IS f continuous on its domain? If not, state where f is discontinuous.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a)Domain: [-3,infinity)
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b)Range: [-3,5), [8],(-infinity,2) for all three sections. Putting it together,(-infinity,8]
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c)f%28x%29=0 when x=3 X-intercept
f%28x%29=4 when x=0 Y-intercept
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d) No, the value of f%28x%29 at x=1 does not equal both the values of f%28x%29 as x approaches x=1 from the right or the left.