Which of the following points lies on the graph of the function

y = 2(3)^x

a. 2, 0)
b. (1, 3)
c. (1, 4)
d. (0, 2)

Question

Which of the following points lies on the graph of the function

y = 2(3)^x

a. 2, 0)
b. (1, 3)
c. (1, 4)
d. (0, 2)

anonymous · Answer

D. (0, 2) Try this graphing calculator: https://www.desmos.com/calculator

anonymous · Answer

It helps a lot when you want to check your answer

anonymous · Answer

oops

$$2\times 3^0=2\times 1=2$$

anonymous · Answer

i never learned how to do  this though :/ . can you teach me the step by step?

anonymous · Answer

@satellite73

anonymous · Answer

$(a,b)$ is a point on the graph of $y=f(x)$ means $f(a)=b$

anonymous · Answer

take the $x$ in the expression $2\times 3^x$ and replace it by the first coordinate in the ordered pair

anonymous · Answer

for example in the pair $(2, 0)$ if you replace $x$ by $2$ you get $y=2\times 3^2=2\times 9=18$ and therefore $(2,0)$ is not on the graph, 
on the other hand $(2,18)$ is on the graph

anonymous · Answer

yes. is that all of the steps?