Question

In: Advanced Math

Explore and discuss the graphs of f(x) = (b)x and g(x) = (1/h)x. Then make a conjecture about the relationship between the graphs of the functions bx and (1/b)x for any real number b > 0.

Explore and discuss the graphs of f(x) = (b)x and g(x) = (1/h)x. Then make a conjecture about the relationship between the graphs of the functions bx and (1/b)x for any real number b > 0.

Solutions

Expert Solution

Consider the following function,

F(x) = bx

 

Use maple to draw the graph of above function,

 

Now, consider the other function

G(x) = (1/b)x

 

Use maple to draw the graph of above function,

 

Here the graph G(x) = (1/b)x is the reflection about y-axis of the graph F(x) = bx.

For any real numbers b > 0 and for the function F(x) = bx;

 

The function G(x) is the reflection about y-axis F(-x).

The function G(x) is the reflection about y-axis F(-x).

Junaid answered 2 years ago
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