Let's solve each question step by step with explanations: --- ### **Question 22** **Statement:** If \( x_1 < x_2 \) and \( f \) is a decreasing function, then \( f(x_1) > f(x_2) \). #### **Step 1:** Recall the definition of a decreasing function. A function \( f \) is decreasing if for all \( x_1 < x_2 \), \( f(x_1) \geq f(x_2) \). For a *strictly* decreasing function, \( f(x_1) > f(x_2) \). #### **Step 2:** The statement does not specify "strictly decreasing," only "decreasing." For a decreasing (not strictly) function, it is possible that \( f(x_1) = f(x_2) \), not necessarily \( f(x_1) > f(x_2) \). **Final Answer:** **False** --- ### **Question 23** **Statement:** A vertical line intersects the graph of a function at most once. #### **Step 1:** Recall the definition of a function. A function assigns exactly one output (y-value) for each input (x-value). Therefore, for any given \( x \), there is at most one corresponding \( y \). #### **Step 2:** A vertical line test: If any vertical line intersects the graph more than once, the graph is not a function. By definition, a function's graph cannot be intersected more than once by a vertical line. **Final Answer:** **True** --- **Summary of Answers:** - 22: **False** - 23: **True**