E-4. 4: Constant Ratios in the context of Real-world Situations E-4

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Presentation transcript:

E-4. 4: Constant Ratios in the context of Real-world Situations E-4 E-4.4: Constant Ratios in the context of Real-world Situations E-4.6: Homework E-5.2: Deepening Our Understanding of Exponential Functions

Answers for Page: 139

Answers for Page: 140-141 2.A. f(x) = -4x+13 2.B. f(x) = 2x-6 3. f(x) = 3x-5 4. f(x) = 3x-7 5. See right 6. Linear + or – and Exponential * or ÷ Linear is a line and Exponential is a curve

Essential Question: How is exponential functions used in the real world? Key words for exponential growth: double, triple, grows, add Key words for exponential decay: depreciate, loses value, halves

General Form of an Exponential Function GROWTH: DECAY:

Reminder about Constant Ratio What is the constant ratio? 2. How do I find future values? 3. How do I find previous values? 4. What is the initial value? 5. What is the equation? x F(x) 3 192 4 768

Reminder about Constant Ratio 1. What is the constant ratio? 768 192 =4 2. How do I find future values? Multiply the prev. output by 4 3. How do I find previous values? Divide the prev. output by 4 4. What is the initial value? 3 5. What is the equation? 𝑓 𝑥 =3∗ 4 𝑥 x F(x) 3 1 12 2 48 192 4 768 5 3072

Reminder about Constant Ratio What is the constant ratio? 2. How do I find future values? 3. How do I find previous values? 4. What is the initial value? 5. What is the equation? x F(x) -3 32 -2 16

Reminder about Constant Ratio What is the constant ratio? 16 32 =0.5 2. How do I find future values? Multiply the prev. output by 0.5 3. How do I find previous values? Divide the prev. output by 0.5 (AKA multiply by 2) 4. What is the initial value? 4 5. What is the equation? 𝑓 𝑥 =4∗ 0.5 𝑥 x F(x) -3 32 -2 16 -1 8 4 1 2