Question

Use the graphs of the rational functions in choices A–D to answer each question.

There may be more than one correct choice. If ƒ represents the function, only one choice has a single solution to the equation ƒ(x)=3. Which one is it?

Accepted Answer

Step 1: Understand the problem. We need to find which graph has exactly one solution to the equation $$f(x) = 3. $$This means we are looking for the graph where the horizontal line $$y = 3$$ intersects the function's graph exactly once. Step 2: Analyze each graph by visualizing or drawing the horizontal line $$y = 3$$ and count the number of intersection points with the graph of $$f(x). $$Step 3: For graph A, observe that the curve crosses the line $$y = 3$$ exactly once. This suggests one solution for $$f(x) = 3. $$Step 4: For graph B, notice that the curve crosses the line $$y = 3$$ more than once, indicating multiple solutions to $$f(x) = 3. $$Step 5: For graphs C and D, similarly check the number of intersections with $$y = 3. $$Both graphs show two or more intersections, meaning multiple solutions. Therefore, only graph A has a single solution to $$f(x) = 3.$$

Use the graphs of the rational functions in choices A–D to answer each question.

There may be more than one correct choice. If ƒ represents the function, only one choice has a single solution to the equation ƒ(x)=3. Which one is it?

주요 개념

Rational Functions and Their Graphs

Solving Equations Using Graphs

Interpreting Intersection Points for Solution Count

Use the graphs of the rational functions in choices A–D to answer each question.There may be more than one correct choice. If ƒ represents the function, only one choice has a single solution to the equation ƒ(x)=3. Which one is it?

주요 개념

Rational Functions and Their Graphs

Solving Equations Using Graphs

Interpreting Intersection Points for Solution Count

Use the graphs of the rational functions in choices A–D to answer each question.

There may be more than one correct choice. If ƒ represents the function, only one choice has a single solution to the equation ƒ(x)=3. Which one is it?