Question 52496
I keep doing these, so I wish people would just check the already answer problems!
The values for {{{y}}} only approaches zero and decreases and increases on an exponential level, so you have an exponential function.
Points: (-2,0.25),(-1,0.5),(0,1),(1,2),(2,4)
Domain(x-values):-2,-1,0,1,2
Range(y-values):0.25,0.5,1,2,4
We need these two points: (0,1) and (2,4)
y = a(b^x)
1 = a(b^0)
1 = a
plug:
y = b^x
4 = b^2
2 = b
plug:
y = 2^x
Domain: all real values
Range: {{{y > 0}}}
{{{graph(300,300,-5,5,-2,8,2^x)}}}