Answer:
y-intercept is (0, -2) and asymptote of y = -2.5
Step-by-step explanation:
If you substitute 0 in for x and simplify, then you will have the y-intercept
y = [tex]\frac{1}{2} (7)^{0} - 2.5 = \frac{1}{2} (1) - 2.5 = \frac{1}{2} - 2.5 = -2[/tex]
The y-intercept is (0, -2)
If the -2.5 were not there, then the graph would have an asymptote at y = 0 or the x-axis
The -2.5 moves the graph down 2.5 units so that y = -2.5 is the asymptote
Therefore, the first answer is correct
