Question

A function of the form f(x) = abx is modified so that the b value remains the same but the a value is increased by 2. How do the domain and range of the new function compare to the domain and range of the original function? Check all that apply

Answer 1

We are given a function

$y=a(b)^x$

Here , b remains same and 'a' is increased by 2

Domain:

We know that domain is all possible values of x for which any function is defined

a is increased by 2

so, we get new function as

$y=(a+2)(b)^x$

We can choose any value of 'x'

and it does depend on 'a'

so, domain will remain same

Range:

We know that range is all possible values of y

'a' is increased by 2 and b is constant

so, new function is

$y=(a+2)(b)^x$

It will slightly increase y-value

but it will also be same

so, range will remain same...........Answer