SOLUTION: a)construct a table of values for the exponential function y=2(3)^x Use values of x from -1 to 3. b) Graph the equation. Connect the points with a solid line. c) What is the x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: a)construct a table of values for the exponential function y=2(3)^x Use values of x from -1 to 3. b) Graph the equation. Connect the points with a solid line. c) What is the x      Log On


   

Question 1130384: a)construct a table of values for the exponential function y=2(3)^x
Use values of x from -1 to 3.
b) Graph the equation. Connect the points with a solid line.
c) What is the x-intercetp? What is the y-intercept?
d) What is the asymptote?
e) Using the graph, estimate the value of x when y=18
Thank you
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
a)construct a table of values for the exponential function y=2%283%29%5Ex+
Use values of x from -1 to 3.

x|y
-1|2%2F3->y=2%283%29%5E-1=2%2A%281%2F3%29=2%2F3+
0|2->y=2%283%29%5E0=2%2A1=2+
1|6->y=2%283%29%5E1=2%2A3=6+
2|18->y=2%283%29%5E2=2%2A9=18+
3|54->y=2%283%29%5E3=2%2A27=54

b) Graph the equation. Connect the points with a solid line.



c) What is the x-intercept? What is the y-intercept?
set y=0 to find the x-intercept
0=2%283%29%5Ex+...(no solutions exist)=> there is no x-intercept
set x=0 to find the y-intercept
y=2%283%29%5E0+->y=2%2A1+->y=2
the y-intercept is at (0,2)

d) What is the asymptote?
y+=+2%2A3%5Ex+is asymptotic to y+=+0

e) Using the graph, estimate the value of x when y=18+

y=18+ is approximately where x=2