representation-of-exponential-functions-using-tables-graph-and-equations.pptx

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1. REPRESENTING EXPONENTIAL FUNCTION THROUGH TABLE OF V ALUES, GRAPH, AND EQUATION.

2. OBJECTIVES : Recall what is an Exponential Function Learn how to Represent Exponential Function through table of values Learn how to Represent Exponential Function through graph Learn how to Represent Exponential Function through an equation REPRESENTING EXPONENTIAL FUNCTION THROUGH TABLE OF VALUES, GRAPH, AND EQUATION.

3. EXPONENTIAL FUNCTION - An exponential function can be written as f(x) = b x Where b>0, b ≠ 1, and x is any real number. Examples : f(x) = 7 x+3 f(x) = 10 x f(x) = 2 x+1 f(x) = 4 x+2

4. EXAMPLE 1 Sketch the graph of the function f(x)= 2 x . STEP 1 : Prepare a table of values for the function. (- 2, 0.25), (- 1, 0.5), (0,1), (1,2), (2,4) x - 2 - 1 1 2 f(x) 1 2 - 2 = — 4 1 2 - 1 = — 2 2 = 1 2 1 = 2 2 2 = 4

5. STEP 2 : Plot these ordered pairs in a Cartesian Plane and connect the points (- 2,0.25), (- 1, 0.5),(0,1),(1,2),(2,4) Observe that from left to right, the points are gradually INCREASING . This is because the base of the given function f(x) = 2 x is GREATER THAN 1. RULE : The function is increasing if b > 1.

6. EXAMPLE 2 Sketch the graph of the function f(x)= STEP 1 : Prepare a table of values for the function. (- 2,4), (- 1,2),(0,1),(1,0.5),(2,0.25) x - 2 - 1 1 2 g(x) 4 2 1 0.5 0.25

7. STEP 2 : Plot these ordered pairs in a Cartesian Plane and connect the points (- 2,4),(- 1,2),(0,1),(1,0.5),(2,0.25)

8. Thank you!