The functions f and g are both of the form .

(a) Do the functions f and g represent exponential growth or exponential decay? Explain.

(b) Assume both functions have the same value of C. Which function has a greater value of k? Explain.

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Mary RamoyLv10

8 Dec 2020

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HOW DO YOU SEE IT? The functions f and g are both of the form .

(a) Do the functions f and g represent exponential growth or exponential decay? Explain.

(b) Assume both functions have the same value of C. Which function has a greater value of k? Explain.

8. Suppose f(x) is a polynomial function of degree n ≥ 1 and is defined on a closed interval. Then f(x) must have:-
a) Local extrema
b) Absolute extrema
c) Both a & b
d) Neither a nor b

9. State the concavity for each of the following functions. Place the ‘correct’ letter in the blank provided. Assume all functions are the base functions (i.e. no transformations).

A = concaves up
B = concaves down
C = concaves both up and down
D = neither concaves up nor down

_____ Linear function
_____ Cubic function
_____ Exponential function (base > 0)
_____ Logarithmic function (base > 0)
_____ Absolute function
_____ Root function
_____ Reciprocal function
_____ Trigonometric function