SOLUTION: The following table of values are points on the function f(x) = a(c)x. What are the values for a and c? x y 0 2 1 6 2 18 3 54 4 162

Question 1180764: The following table of values are points on the function f(x) = a(c)x. What are the values for a and c?
x y
0 2
1 6
2 18
3 54
4 162
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

            The function in your post is written/presented INCORRECTLY.

            The correct writing is   f(x) = a*c^x,   or   f(x) = .

The given sequence in  "y"  is the geometric progression with the first term of  2  and the common ratio of  3.


So,  f(x) = 2*3^x,  where  x = 0, 1, 2, 3, 4.


Thus    a = 2;    c = 3.      ANSWER

Solved, answered and explained.

RELATED QUESTIONS
x 0 1 2 3 f(x) 1 2 5 10 The table above... (answered by ewatrrr)

What values of x are excluded for the function f(x)= (x-1)/(x^2+1)? A) 1 B) 0 and (answered by cartert)

a)construct a table of values for the exponential function y=2(3)^x Use values of x... (answered by MathLover1)

The function f is of the form f(x) = (ax + b) / (2x + c), for x ≠ -(c/2), where a, b,... (answered by math_tutor2020)

What is the process for finding max/min for functions? I have this function: f(x) = 2x^3 (answered by ikleyn)

Greetings, Any help with the following would be appreciated. 1. The table... (answered by scianci)

The function 𝑓(𝑥) = 10^0.1𝑥 + 15 is given. Define its domain and range. (5... (answered by Edwin McCravy)

Consider the logarithmic equation f(x) = ln (x + 2) � 1. Round all values to the tenths... (answered by Boreal)

Consider the logarithmic equation f(x) = ln (x + 2) � 1. Round all values to the tenths... (answered by Theo)