Problem 88 - Introductory Algebra for College Students

Question

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I like to select a point represented by one of the intercepts as my checkpoint.

Step-by-Step Solution

Answer

The statement 'I like to select a point represented by one of the intercepts as my checkpoint' makes sense. Intercepts can provide substantial information about a function and therefore can be used as a good checkpoint.

Step 1: Define terms

The intercepts of a graph are points where the graph crosses or touches the x-axis or y-axis. These points often provide useful information about the graph's behavior and characteristics.

Step 2: Evaluate the statement

Consider the statement 'I like to select a point represented by one of the intercepts as my checkpoint.' This statement suggests the use of an intercept as a reference or check while working with a function or its graph.

Step 3: Check reasoning

Using intercepts as checkpoints makes sense because they're definite points that can be precisely determined from a function. They can serve as reference points for verifying the validity of the graph. For instance, after graphing a function, one could check whether the graph passes through the intercept points.