6. Exponential & Logarithmic Functions

Solve each equation. (√2)^x+4 = 4^x

Give the equation of each exponential function whose graph is shown.

Graph each function. Give the domain and range. ƒ(x) = (1/3)^x-2 + 2

In Exercises 5–9, graph f and g in the same rectangular coordinate system. Use transformations of the graph of f to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function's domain and range. f(x) = e^x and g(x) = 2e^x/2

Determine if the function is an exponential function.  

If so, identify the power & base, then evaluate for $x=4$.

$f\left(x\right)=\left(-2\right)^{x}$

Determine if the function is an exponential function.  

If so, identify the power & base, then evaluate for $x=4$ .

$f\left(x\right)=3\left(1.5\right)^{x}$

Determine if the function is an exponential function.  

If so, identify the power & base, then evaluate for $x=4$ .

$f\left(x\right)=\left(\frac12\right)^{x}$

In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. 2^3.4