1. Lesson 1

1.7. Explore 3

Mathematics 30-2 Module 7

Module 7: Exponents and Logarithms

 


In Try This 3 you will explore how the graph of an exponential function is changed when the parameters of y = a(b)x (where a > 0, b > 0, and b ≠ 1) are altered.

 

Try This 3

 

Open the “Exponential Functions—Activity A” tool.

 

 

This is a play button for Exponential Functions—Activity A.

Screenshot reprinted with permission of ExploreLearning.


  1. Use the sliders and change the a- and b-values to produce the graphs of different exponential functions. Complete a table like the following.

    Value of a

    		 1

    3

    		 2 4
    Value of b 2 2 0.7 0.5
    Function (y = bx) y = 2x                           
    Sketch

    This is the graph of the function y equals 2 to the exponent x.

    Screenshot reprinted with permission of ExploreLearning.

    		      
    x-intercepts none      
    y-intercepts 1      
    End Behaviour curve extends from quadrant II to quadrant I      
    Behaviour from Quadrant II
    to Quadrant I
    (Increasing or Decreasing)    		 increasing      
    Domain {x|x ∈ R}      
    Range {y|y > 0, y ∈ R}      
  2. Given the equation of an exponential function in the form y = a(b)x where a > 0, b > 0, and b ≠ 1, explain how you can determine
    1. the y-intercept
    2. if the function is increasing or decreasing

course folder Save your responses in your course folder.