Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
secondary 3 | E Maths
2 Answers Below
Anyone can contribute an answer, even non-tutors.
Hi, this is the Graph topic for Emath. I do not understand why the asymptote affect the value of b. In this case, why y = b = 1
This graph is of the type y = a^x + b.
The y-value is always positive as shown in the graph (asymptote is above x-axis, so the value of y can never reach it, let alone below 0)
Realise that in this graph, a^x is always positive for all real values of x. This means a is positive. Try it on a calculator using different values of x and (negative and positive) and a (positive).
So, since y = a^x + b, and a^x is always positive,
y is always = b + (something positive).
This also means y always > b for any real value of x. Value of y will never reach b.
In this graph,the asymptote is the line y = 1. So value of y in the graph is always > 1 and never reaches 1.
From this and the above deduction, you'll realise b = 1.
See 2 Answers