Home > Algebra > Domain and Range of a Function

Which is the correct answer of statement h?

Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.

h(2) = 16

h(-3) = -1

h(13) = 18

h(8) = 21

Answer 1

Eva Adamson

#color(blue)(h(2)=16)#

Examining the domain and range allows us to immediately rule out some.

For

#h(-3)=-1#

This is outside of the range. i.e. #-1 !in 1<=h(x)<=25#

For:

#h(13)=18#

This is outside of the domain. i.e. #13 !in -3<=x<=11#

For

#h(8)=21#

The inquiry informs us that

#h(8)=19#

Thus, a contradiction exists.

Only

#h(2)=16#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Kennedy Adams

To provide the correct answer to statement h, I would need to know the specific statement or question related to h. Please provide the statement or question so I can give you the correct answer.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Which is the correct answer of statement h?

Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. h(2) = 16 h(-3) = -1 h(13) = 18 h(8) = 21

Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.

h(2) = 16

h(-3) = -1

h(13) = 18

h(8) = 21