Jeopardy: Jeopardy Exponential Graphs and Equations Evaluate Exponential Functions Sequence Functions Growing/Decaying Functions Translations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Final Jeopardy
$100 Question from Exponential Graphs and Equations : $100 Question from Exponential Graphs and Equations Which graph below represents exponential decay? a) b)
$100 Answer from Exponential Graphs and Equations : $100 Answer from Exponential Graphs and Equations Graph A
$200 Question from Exponential Graphs and Equations : $200 Question from Exponential Graphs and Equations Which graph below represents exponential growth? a) b)
$200 Answer from Exponential Graphs and Equations : $200 Answer from Exponential Graphs and Equations Graph B
$300 Question from Exponential Graphs and Equations : $300 Question from Exponential Graphs and Equations Which equation below represents exponential decay? a) y = 2( ½ ) x b) y = 5(3) x
$300 Answer from Exponential Graphs and Equations : $300 Answer from Exponential Graphs and Equations Equation A
$400 Question from Exponential Graphs and Equations : $400 Question from Exponential Graphs and Equations Graphs of exponential functions are ______. a) Curves b) Lines c) Parabolas
$400 Answer from Exponential Graphs and Equations : $400 Answer from Exponential Graphs and Equations Curves
$500 Question from Exponential Graphs and Equations : $500 Question from Exponential Graphs and Equations In tables of exponential functions, you ___________ by the same amount each time to get to the next number . a) Multiply b) Add c) Subtract
$500 Answer from Exponential Graphs and Equations : $500 Answer from Exponential Graphs and Equations A) Multiply
$100 Question from Evaluate Exponential Functions: $100 Question from Evaluate Exponential Functions Evaluate f(-4) for f(x) = 2 -4 .
$100 Answer from Evaluate Exponential Functions: $100 Answer from Evaluate Exponential Functions 1/16
$200 Question from Evaluate Exponential Functions: $200 Question from Evaluate Exponential Functions Evaluate f(-3) for f(x) = 3 x .
$200 Answer from Evaluate Exponential Functions: $200 Answer from Evaluate Exponential Functions 1/9
$300 Question from Evaluate Exponential Functions: $300 Question from Evaluate Exponential Functions Evaluate f(4) for f(x) = 2 x .
$300 Answer from Evaluate Exponential Functions: $300 Answer from Evaluate Exponential Functions 16
$400 Question from Evaluate Exponential Functions: $400 Question from Evaluate Exponential Functions Evaluate f(3) for f(x) = 3 x .
$400 Answer from Evaluate Exponential Functions: $400 Answer from Evaluate Exponential Functions 27
$500 Question from Evaluate Exponential Functions: $500 Question from Evaluate Exponential Functions Assuming the pattern in the table continues, what is the function when x = 6? x f(x) 1 3 2 9 3 27 4 81 5 243 6 ?
$500 Answer from Evaluate Exponential Functions: $500 Answer from Evaluate Exponential Functions 729
$100 Question from Sequences: $100 Question from Sequences Write the NOW-NEXT form of the following geometric sequence: 1, 4, 16, 64, …
$100 Answer from Sequences: $100 Answer from Sequences Next = Now x 4
$200 Question from Sequences: $200 Question from Sequences Write the NOW-NEXT form of the following geometric sequence: 81, 27, 9, 3, 1, …
$200 Answer from Sequences: $200 Answer from Sequences NEXT = NOW x (1/3)
$300 Question from Sequences: $300 Question from Sequences In the geometric sequence below, what is the common ratio? 81, 27, 9, 3, 1, …
$300 Answer from Sequences: $300 Answer from Sequences 1/3
$400 Question from Sequences: $400 Question from Sequences What is the next number in this sequence? 1.5, 6, 24, 96, 384, …
$400 Answer from Sequences: $400 Answer from Sequences 1,536
$500 Question from Sequences: $500 Question from Sequences In the geometric sequence below, what is the common ratio? 125, 25, 5, 1, …
$500 Answer from Sequences: $500 Answer from Sequences 1/5
$100 Question from Growing/Decaying Functions: $100 Question from Growing/Decaying Functions Which function below is growing the fastest? Function 1: Function 2: x y 0 1 1 4
$100 Answer from Growing/Decaying Functions: $100 Answer from Growing/Decaying Functions Function 2
$200 Question from Growing/Decaying Functions: $200 Question from Growing/Decaying Functions Which table below models exponential growth? Table 1 Table 2 x y -1 3 0 1 1 1/3 x y 0 1 1 3 2 9
$200 Answer from Growing/Decaying Functions: $200 Answer from Growing/Decaying Functions Table 2
$300 Question from Growing/Decaying Functions: $300 Question from Growing/Decaying Functions A radio-active atom has a half-life of a day. This means that it decays by ½ each day. Write an equation for this exponential function if you start with 100 grams.
$300 Answer from Growing/Decaying Functions: $300 Answer from Growing/Decaying Functions y = 100 ( ½ ) x
$400 Question from Growing/Decaying Functions: $400 Question from Growing/Decaying Functions Find the intersection point for the two functions below: y = 3 x and y (1/3) x
$400 Answer from Growing/Decaying Functions: $400 Answer from Growing/Decaying Functions (0, 1)
$500 Question from Growing/Decaying Functions: $500 Question from Growing/Decaying Functions Which function below is decaying the fastest? a) y = ( ½ ) x b) y = ( ¾ ) x
$500 Answer from Growing/Decaying Functions: $500 Answer from Growing/Decaying Functions y = ( ½ ) x
$100 Question from Translations: $100 Question from Translations Does the equation below represent a vertical or horizontal translation? Describe the translation. y = ( ½ ) x + 8
$100 Answer from Translations: $100 Answer from Translations Vertical; Moved up 8 units
$200 Question from Translations: $200 Question from Translations Does the equation below represent a vertical or horizontal translation? Describe the translation. y = 6 (x – 2)
$200 Answer from Translations: $200 Answer from Translations Horizontal; Moved right 2 units
$300 Question from Translations: $300 Question from Translations Does the equation below represent a vertical or horizontal translation? Describe the translation. y = 2 x - 9
$300 Answer from Translations: $300 Answer from Translations Vertical; Moved down 9 units
$400 Question from Translations: $400 Question from Translations Does the equation below represent a vertical or horizontal translation? Describe the translation. y = 8 (x+3)
$400 Answer from Translations: $400 Answer from Translations Horizontal; Moved left 3 units
$500 Question from Translations: $500 Question from Translations Does the equation below represent a vertical or horizontal translation? Describe the translation. y = ( ½ ) x - 10
$500 Answer from Translations: $500 Answer from Translations Vertical; Moved down 10 units
Final Jeopardy: Final Jeopardy Match the equation with the correct type. 1) y = mx + b a) Quadratic 2) y = ab x b) Linear 3) y = ax 2 + bx + c c) Exponential
Final Jeopardy Answer: Final Jeopardy Answer 1) B 2) C 3) A