Pg. 79:1,4,7,8,9,14,16,20 - Inverse Functions

Lesson 6 - 2.4 #1 Given a graph of a function f(x) with points (0, 2) and (-3, 0).

(a) f(0) = 2 (b) f(?) = 0 when x = -3

(c) f -1(0) = -3 (d) f -1(?) =0 when y = 2

Lesson 6 - 2.4 #4 Given table of values find inverse function.

(a) i. ii.

iii. iv.

(b) (0, 2) pairs with i and iv.

(1, 0) pairs with ii and iii

Lesson 6 - 2.4 # 7 Find inverse of

Ans:

Lesson 6 - 2.4 # 8 Find inverse of

Ans:

Lesson 6 - 2.4 #9 Find meaning of inverse of Population, p in millions with respect to time in years.

Inverse is is the time in years when the population is P millions.

Lesson 6 - 2.4 #14 Find the inverse of the function

Lesson 6 - 2.4 #16 Given a function Find:

(a)

(b) since when P = 20, s = 5

(c) since when P = P, s = P/4

Lesson 6 - 2.4 #20 From a word problem statement

(a) Since t = 0 in 1994, the

Domain is and

Range is

(b) C(4) means the concentration of CO2 when t = 4 or 1998.

(c) C-1(365) is the year after 1994 when the concentration of CO2 is 365 ppm (note this cannot be determined from information given)