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Answer: a=8
Step-by-step explanation:
The rate of change of function is given by :-
For , linear function, the rate of change of function remains constant.
From, x=3 and x=4, we have
Since , the rate of change k= +5 (given)
Then,
Hence, the value of a is 8.
Coefficients, constant doesn't matter in period. only the "argument" or parameters or the angle matters.
if has a period $T$ then $cf(ax+b)+d$ will have period of $\frac Ta$ (nothing matters other than that), $T$ is the fundamental period.
$\sin(x)$ has fundamental period is $2\pi$ so period of $fx)$ will be $\pi$