briannavanloo7
briannavanloo7 briannavanloo7
  • 07-09-2021
  • Mathematics
contestada

5. h(x)=0.5x - 1 with domain (-♾, 4) what is the range

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r3t40
r3t40 r3t40
  • 07-09-2021

We have a domain of a function, that is, which x-es can we throw in. But we are asking which y-s will we get given that we can only throw x-es in [tex](-\infty,4)[/tex].

Let's try [tex]x=4[/tex] even though we are forbidden to put 4 inside [tex]h[/tex] we are still able to do so.

So [tex]h(4)=0.5\cdot4-1=2-1=1[/tex] what we just got is the upper limit of the range. The lower limit is [tex]h(-\infty)=-\infty[/tex].

So the range is just [tex](-\infty, 1)[/tex].

Hope this helps :)

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