Increasing Decreasing Intervals 5408F9

1. **Problem Statement:** Determine the increasing and decreasing intervals for the graphs labeled #23 and #24 based on the given information. 2. **Given Information:** - For #23: - No x-intercepts - y-intercept at (0,1) - Domain: $(-\infty, \infty)$ - Range: $(0, \infty)$ - No constants - Graph suggests a positive exponential shape - For #24: - x-intercept at (1,0) - No y-intercept - Domain: $(-\infty, \infty)$ - Range: $(-\infty, \infty)$ - No constants - Increasing curve 3. **Step for #23:** - Since the graph is a positive exponential curve passing through (0,1) with range $(0, \infty)$ and no x-intercepts, it is always above the x-axis. - Exponential functions of this type are strictly increasing over their entire domain. - Therefore, the increasing interval is $(-\infty, \infty)$. - There are no decreasing intervals. 4. **Step for #24:** - The graph crosses the x-axis at (1,0) and is increasing. - The domain and range are all real numbers. - Since it is increasing and no constants or horizontal segments are mentioned, the function is increasing over $(-\infty, \infty)$. - There are no decreasing intervals. **Final answers:** - For #23: - Increasing: $(-\infty, \infty)$ - Decreasing: none - For #24: - Increasing: $(-\infty, \infty)$ - Decreasing: none