Problem

Question 2 (1 point) Given the function $y=(2.5)^{x}-6$ determine the $y$-intercept a) $y=-6$ b) $y=-5$ c) $y=2.5$ d) $y=-3.5$

Solution

Step 1 :The y-intercept of a function is the point where the graph of the function intersects the y-axis. This happens when x = 0. So, to find the y-intercept, we need to substitute x = 0 into the function and solve for y.

Step 2 :Substitute x = 0 into the function y = (2.5)^x - 6

Step 3 :y = (2.5)^0 - 6

Step 4 :y = 1 - 6

Step 5 :y = -5

Step 6 :Final Answer: The y-intercept of the function \(y=(2.5)^{x}-6\) is \(\boxed{y=-5}\)

From Solvely APP
Source: https://solvelyapp.com/problems/18210/

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