+0

# An exponential function with a base of 1/2 has been compressed vertically by a factor of 3/4 and reflected in the y-axis. Its asymptote is t

0
72
1

a) Write an equation of the function

b) Discuss its domain and range

Jul 15, 2021

#1
+11879
+1

a) Write an equation of the function

b) Discuss its domain and range

Hello Guest!

a)
$$\color{blue}f(x)=\frac{3}{4}\cdot (\frac{1}{2})^x+t\\ f(0)=\frac{3}{4}+t$$

reflected in y

$$\color{blue}g(x)=\frac{3}{4}\cdot (\frac{1}{2})^{-x}+t\\ f(0)=\frac{3}{4}+t$$

b)

domain f(x) and g(x):  - $$\infty$$ < x < $$\infty$$

range f(x):   t < f(x) < $$\infty$$

range g(x):   t < g(x) < $$\infty$$

!

Jul 16, 2021
edited by asinus  Jul 16, 2021