Training Camp (cont 5)

Regardless of whether the exponential function y = ab^x is increasing or decreasing, it will never have a y-value less than or equal to zero. Because of this, it will never cross the x-axis; therefore, it has no x-intercepts.

Based on this information, you can specify the domain and range for y = ab^x. The domain and range for any exponential function of the form y = ab^x are given as

Describe the characteristics of each function, based on the given equation. y-intercept end behaviour domain range a. 3 The b-value is 7, so this is an increasing function. Therefore, as the x-values decrease, the graph tends towards the x-axis, and as the x-values increase, the graph tends towards positive infinity. b. 4 The b-value is 0.3, so this is a decreasing function. Therefore, as the x-values decrease, the graph tends towards positive infinity, and as the x-values increase, the graph tends towards the x-axis. c. 3.5 The b-value is , so this is a decreasing function. Therefore, as the x-values decrease, the graph tends towards positive infinity, and as the x-values increase, the graph tends towards the x-axis. d. 12 The b-value is 2, so this is an increasing function. Therefore, as the x-values decrease, the graph tends towards the x-axis, and as the x-values increase, the graph tends towards positive infinity.