Replacing x with -x in \(\displaystyle{\ln{{x}}}\) reflects the graph about the y-axis. Replacing -x with 2 -x in \(\displaystyle{\ln{{\left(-{x}\right)}}}\) shifts the graph 2 unit left.

Question

asked 2021-05-27

Begin with the graph of y = ln x and use transformations to sketch the graph of each of the given functions. y = 1 - ln (1 - x)

asked 2021-08-14

Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}=-{\frac{{{1}}}{{{x}^{{{2}}}}}}\)

asked 2021-08-10

Sketch a graph of the function. Use transformations of functions when ever possible. \(\displaystyle{f{{\left({x}\right)}}}={1}+\sqrt{{{x}}}\)

asked 2021-08-14

Begin by graphing

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

Then use transformations of this graph to graph the given function. Be sure to graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs.

\(\displaystyle{h}{\left({x}\right)}={2}^{{{x}+{1}}}-{1}\)

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

Then use transformations of this graph to graph the given function. Be sure to graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs.

\(\displaystyle{h}{\left({x}\right)}={2}^{{{x}+{1}}}-{1}\)