Can someone show me how to solve this
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Answer:
f(1)=13
f(-9)=88
f(0)=0
f(-15)=20
The above mentioned are false statements
Step-by-step explanation:
f(1)=13 : false because "13" is out of range -40≤f(x)≤-10
f(-9)=88 : false because "88" is out of range -40≤f(x)≤-10
f(0)=0 : false because "0" is out of range -40≤f(x)≤-10
f(-15)=-20 : false because "-15" is out of domain -10≤x≤20
If the domain is [tex]-10\leq x \leq 20[/tex], it means that you can only accept inputs between -10 and 20.
In other words, you can write f(x) only is x is between -10 and 20.
This rules out the option [tex]f(-15)=-20[/tex], because you can't accept -15 as input, because it's less than -10.
Similarly, if the range is [tex]-40\leq f(x) \leq -10[/tex], it means that the function can only output numbers between -40 and -10.
In other words, you can write f(x)=k only is k is between -40 and -10.
This rules out the first two options, because their output is positive, and also f(0)=0