Question

Can someone show me how to solve this

Answer 1

If the domain is
`-10\leq x \leq 20`, 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
`f(-15)=-20`, because you can't accept -15 as input, because it's less than -10.

Similarly, if the range is
`-40\leq f(x) \leq -10`, 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

Answer 2

f(1)=13

f(-9)=88

f(0)=0

f(-15)=20

The above mentioned are false statements

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