How to find value of x with secant and tangent
1 answer:
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Answer:
C - 19/24
Step-by-step explanation:
Take the fractions and put the denominators into a common factor
Add Numerators Across
To check for continuity at the edges of each piece, you need to consider the limit as approaches the edges. For example,
has two pieces, and
, both of which are continuous by themselves on the provided intervals. In order for
to be continuous everywhere, we need to have
By definition of , we have
, and the limits are
The limits match, so is continuous.
For the others: Each of the individual pieces of are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.