Creating a Function In Exercises 51-54, sketch a graph of a function f having the given characteristics. (There are many correct answers.) f ( 2 ) = f ( 4 ) = 0 f ' ( x ) > 0 if x < 3 f ' ( 3 ) is undefined . f ' ( x ) < 0 if x > 3 f " ( x ) > 0 , x ≠ 3
Creating a Function In Exercises 51-54, sketch a graph of a function f having the given characteristics. (There are many correct answers.) f ( 2 ) = f ( 4 ) = 0 f ' ( x ) > 0 if x < 3 f ' ( 3 ) is undefined . f ' ( x ) < 0 if x > 3 f " ( x ) > 0 , x ≠ 3
Testing for Functions RepresentedAlgebraically In Exercises 11–18,determine whether the equation represents yas a function of x.11. x2 + y2 = 4 12. x2 − y = 913. y = √16 − x2 14. y = √x + 515. y = 4 − ∣x∣ 16. ∣y∣ = 4 − x17. y = −75 18. x − 1 = 0
Determining Concavity In Exercises 3–14,determine the open intervals on which the graphof the function is concave upward or concavedownward.'
3. f (x) = x2 − 4x + 8
Using the Vertical Line Test In Exercises 39–42, use theVertical Line Test to determine whether y is a function of x.To print an enlarged copy of the graph, go to MathGraphs.com.
39. x − y2 = 0
Chapter 3 Solutions
Calculus: An Applied Approach (MindTap Course List)
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