Select all that is true for the graph that represents the function f(x)=5(3)^x.

a) the graph is increasing by a common ratio of 3
b) the graph is decreasing by a common ratio of 3
c) as x increases, y increases
d) as x increases, y decreases
e) as x decreases, y approaches 1
f) as x decreases, y approaches 0

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

b. qualitative data uses, words while quantitative data uses numbers

step-by-step explanation:

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