Answer:
The original function is f(m) = 5(1.07)^m, with the m as an exponent
part A) if the final length is 9.19, we can set f(m) = 9.19 and solve for m
plugging it into a calculator, I get m = ~8.99, so a bit less than 9. therefore, a reasonable domain might be all the m values 9 or below, or m ≤ 9
part B) the y-intercept of a function is the value of the independent variable when the dependent variable = 0. the two variables in your problem are height and number of months - which one do you think is the independent one, and which one is dependent? then re-interpret "value of the independent variable when the dependent variable = 0" in terms of the actual quantities that the variables represent
part C) average rate of change from m = 1 to m = 9
f(9)−f(1)9−1
evaluate, and think about what that represents in terms of height and number of months
The answer is 80, because 8 is in the hundreds place which means 80.
Answer:
D) 15
Step-by-step explanation:
This is an arithmatic progression.
The formula for the sum of arithmatic progression is
where d is the common difference between successive terms and a is the first term. By applying this formula,
Answer:
A and E
Step-by-step explanation:
A because vertical lines have an undefined slope e.g x = 1
E because slope = rise/run
Answer:
[2]x + [1]
Step-by-step explanation:
f(g(x)) = f(2x) = 2x + 1
so f(g(x) = [2]x + [1]
