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Question

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.

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

asked 2021-08-16

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.

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

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

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.

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

asked 2021-06-18

h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. \(\displaystyle{h}{\left({x}\right)}={x}^{{2}}-{9}\)

asked 2021-08-08

Three students took a test in science but instead of putting the grade on top of as a percent she wrote it as a fraction the students tried to figure out who had the highest grade on the test but came to me for help.

\(\displaystyle{N}{A}{T}{E}:{\frac{{{7}}}{{{8}}}},{c}{a}{l}:{\frac{{{15}}}{{{16}}}},{E}{M}{E}{R}{Y}:{\frac{{{5}}}{{{6}}}}\)

To determine:who had the highest grade on the test

Given: the marks obtained by the students are as follows

\(\displaystyle{N}{A}{T}{E}:{\frac{{{7}}}{{{8}}}},{c}{a}{l}:{\frac{{{15}}}{{{16}}}},{E}{M}{E}{R}{Y}:{\frac{{{5}}}{{{6}}}}\)

To determine:who had the highest grade on the test

Given: the marks obtained by the students are as follows