Question

increasing/decreasing x-intervals of 2^x

Answer 1

please help

Answer 2

im desperate

Answer 3

please

Answer 4

always increasing

Answer 5

is that the answer then

Answer 6

because it is asking for intervals so do you have to have a number

Answer 7

well (-inf,inf)

Answer 8

okay thank you so much

Answer 9

but do you have to say for example it is increasing by 2

Answer 10

no. The function increases at a different rate. In fact, it increase faster and faster

Answer 11

create a table of x,y
plot the function
you will see it is increasing all the time

so
another way to answer is by definition
a>b -->f(a)>f(b)
a>b -->2^a>2^b
so increases all the time

3rd way to answer is derivation (if you know derivation )
y'=2^x * ln(2) >0 so increases for all the x