For the following linear​ function, find the​ domain, range, and intercepts. Then find the minimum and maximum values of f left parenthesis x right parenthesis on the given interval. Write the domain and range in interval notation.

f left parenthesis x right parenthesis equals 5 x plus 7​; left bracket negative 3 comma 0 right bracket

2 answers

Just type it the regular way, so far I can make out the following ....
f(x) = 5x + 7 ; (-3,0)

I will interpret (-3,0) as interval notation and -3 < x < 0
f(-3) = -8, f(0) = 7

domain (-3,0), range (-8,7)

the min approaches -8
the max approaches 7
words, words, words!! How about
f(x) = 5x+7 on the interval [-3,0]

Clearly the domain is [3,0]
You know this is just a straight line, so the range is all the y values between f(-3) and f(0).

Now surely you can figure the min and max values of y.
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