The function h(x) is a continuous function on the interval [-3,7] with h(-3)= 10 and h(7)= -2. Is there a guarantee that there is some value a in the domain such that h(a)=1? Justify your answer. Please show work, if your answer doesn't make sense I will report. Thanks.

answer   download the app called socratic on your phoner:

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

i think the correct option is the second option.