Here are the essential concepts you must grasp in order to answer the question correctly.
Domain of a Function
The domain of a function refers to the complete set of possible input values (x-values) for which the function is defined. In graphical terms, it encompasses all the horizontal values that the graph covers. Identifying the domain involves looking for any restrictions, such as vertical asymptotes or holes in the graph.
Recommended video:
Domain Restrictions of Composed Functions
Range of a Function
The range of a function is the set of all possible output values (y-values) that the function can produce. This can be determined by examining the vertical extent of the graph. Understanding the range is crucial for identifying the behavior of the function, especially in relation to maximum and minimum values.
Recommended video:
Domain & Range of Transformed Functions
Intercepts of a Function
Intercepts are points where the graph of a function crosses the axes. The x-intercepts occur where the function's output is zero (y=0), while the y-intercept occurs where the input is zero (x=0). Finding these intercepts helps in sketching the graph and understanding the function's behavior at specific points.
Recommended video: