Question

how do you test to see if a relation is a function? select all that apply. intercepts equations vertical line test slope mapping

Explanation:

To determine if a relation is a function:

• Intercepts: Find where a graph crosses axes, not for testing functions. Eliminate.
• Equations: Can analyze equations (e.g., check if each input has one output), so this applies.
• Vertical Line Test: A standard method—if any vertical line intersects the graph more than once, it’s not a function. Applies.
• Slope: Measures steepness, not for function testing. Eliminate.
• Mapping: Check if each input (domain) has exactly one output (range) in a mapping diagram. Applies.

So the correct options are Equations, Vertical Line Test, and Mapping. But from the given (with Vertical Line Test already checked), we add Equations and Mapping.

Answer:

B. Equations, C. Vertical Line Test, E. Mapping (assuming options are labeled as A: Intercepts, B: Equations, C: Vertical Line Test, D: Slope, E: Mapping)