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 the line y = -4. Its y-intercept is (0,-13/4).
a) Write an equation of the function.
b) Discuss its domain and range
+15001 a) Write an equation of the function.
b) Discuss its domain and range
Hello Guest!
a)
\(f(x)=\frac{3}{4}\cdot (\frac{1}{2})^x-4\\ f(0)=-\frac{13}{4}\)
reflected
\(g(x)=\frac{3}{4}\cdot (\frac{1}{2})^{-x}-4\\ g(0)=-\frac{13}{4}\)
b)
domain f(x) and g(x) : \(-\infty\) < x < \(\infty\)
range f(x) : - 4 < f(x) < \(\infty\)
range g(x) : - 4 < g(x) < \(\infty\)
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