Chapter 7.1, Problem 11QR

In Exercises 93-98, let f(x) = sin x, g(x) = cos x, and h(x) = 2x. Find the exact value of each expression. Do not use a calculator. 4 93. + fl 6 94. + 6. 6 17 95. (h º g) 3 97. the average rate of change of f from 37 X1 = to x2 = 2 98. the average rate of change of g from = Ix to x2 = T 4

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write a possible equation for each of the functions

(x-a)? + y? = a? -> eliminate arbitrary of constant y = c,x? + cze?x -> eliminate arbitrary of constant

3 2.6

Chapter 4, Section 4.2, Question 011 Find the inflection points of f (x) = x* + x – 30xr? + 6. - Enter the exact answers in increasing order. X = X =

Exercises 97 and 98: Critical Thinking (Refer to Examples 9 and 10.) Use the given f(x) to complete the following. (a) Calculate the average rate of change of f from x = 1 to x = 2. (b) Illustrate your result from part (a) graphically. 97. f(x) = x² 98. f(x) = 4 – x²

1 + x In Exercises 47-48, let f(x) =- 1 - x 1 47. Find and simplify. x + 3 1 48. Find and simplify. x -6,

Exercises 111-118: Determine if y is a function of x. 111. x = y* 112. y = x + 1 113. Vx + I = y 114. x = y - 7 115. x + y = 70 116. (x – 1)² + y² = 1 117. x + y = 2 118. y = |x|