Question

How do you make a exponential graph that represents f(x)=100(1+0.7)^x ?

Answer 1

@mathmate

Answer 2

@peachpi

Answer 3

@mathmate @Thesmarterone

Answer 4

Hint:

Here you have a=100, b=1.07
just need a few more points to give the shape of the graph.

Answer 5

you don't need the points of x and y> @mathmate

Answer 6

The graph that I drew free-hand is sufficient for most purposes.
Some teachers require at least one more point so that the graph defines completely the function.

Answer 7

The graph that I drew free-hand is sufficient for most purposes.
Some teachers require at least one more point so that the graph defines completely the function.

Answer 8

@mathmate what point? like f(1)=170 ,a point like this.

Answer 9

Looked at it again, the graph is actually \(y=100(1.7^x)\), my bad!
Except for b=1.7 (and not 1.07), the graph holds.
Typically in a graph of an exponential function \(f(x)=a(b^x)\)
f(0)=a, (because x=0, f(0)=\(ab^0=a, because b^0=1\)
This point was indicated on the graph.
f(1)=ab (because x=1, f(1)=\(ab^1=ab\)

Answer 10

Yes, one more point like f(1)=170 defines the function completely, since a and b will then be defined.