Based on the analysis of their y-intercepts, both Function 1 and Function 2 share the same y-intercept value of -9. This implies that they both intersect the y-axis at the same point, which is essentially the point where their values are zero.
Comparing the Y-Intercepts of Functions 1 and 2
In the given scenario, we're tasked with determining which function, Function 1 or Function 2, has a higher y-intercept. The y-intercept is a crucial aspect of a function, representing the point where the function crosses the y-axis. It signifies the value of the function when the input (x) is zero.
Function 1: Intercepted at -9
Function 1, represented by the equation r = t - 9, exhibits a y-intercept of -9. This can be confirmed by substituting x = 0 into the equation:
r = 0 - 9
r = -9
The resulting value of r, -9, confirms that Function 1 intersects the y-axis at -9.
Function 2: Also Intercepted at -9
Similarly, Function 2, defined by the table of values, also has a y-intercept of -9. The table provides values for r at different x-coordinates, and when x = 0, we find that r = -9:
x r
0 -9
This indicates that Function 2 also intersects the y-axis at the same point as Function 1, namely -9.