5-Representation-of-Exponential-Functions.pptx

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1. 1. In the function x is called ______. a. base c. exponent b. coefficient d. intercept   WHAT I KNOW

2. 2. Which of the following is NOT an application of exponential function? a. bacterial growth c. monthly salary b. compound interest d. population decline WHAT I KNOW

3. 3. Which of the following is an example of exponential function? a. c. b. d.   WHAT I KNOW

4. 4. The following are examples of exponential function EXCEPT ONE . a. c. b. d.   WHAT I KNOW

5. 5. In exponential function, the function has the value of 1 when the exponent is equal to _____. a. 0 c. -1 b. 1 d. none of the choices WHAT I KNOW

6. REPRESENTATION OF EXPONENTIAL FUNCTIONS DOMINIC DALTON L. CALING General Mathematics | Grade 11

7. At the end of the lesson, the students must be able to: represent an exponential function through its: (a) table of values, (b) graph, and (c) equation; find the domain and range of an exponential function; find the intercept, zeros, and asymptote of an exponential function; graph exponential functions. LESSON OBJECTIVES

8. Let , b > 1, and b ≠ 1. The domain is the set of real numbers, (-∞, ∞). The range is the set of positive real numbers, (0, ∞). If b > 1, f is an increasing exponential function. If 0 < b < 1, f is a decreasing exponential function. The function passes through the point (0, 1) because f(0) = b⁰ = 1. The graph approaches but does not reach the x-axis. The x-axis is the horizontal asymptote.   PROPERTIES OF EXPONENTIAL FUNCTIONS AND THEIR GRAPHS

9. Sketch the graph of , , and in one plane. Describe the significance of the constant b in the equation .   Example 1

10. SOLUTION

11. Sketch the graph of , and in one plane. Describe the graph.   Example 2

12. SOLUTION

13. THANK YOU!