Begin by graphing f(x)=\log_{2}x Then use transformations of this graph to graph the given function. What is the graph's x-intercept? What is the vertical asymptote?

Annette Arroyo 2021-08-08 Answered
Begin by graphing \(\displaystyle{f{{\left({x}\right)}}}={{\log}_{{{2}}}{x}}\).
Then use transformations of this graph to graph the given function. What is the graph's x-intercept? What is the vertical asymptote? Use the graphs to determine each function's domain and range.
\(\displaystyle{h}{\left({x}\right)}=-{1}+{{\log}_{{{2}}}{x}}\)

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Anonym
Answered 2021-08-09 Author has 24895 answers
\(\displaystyle{h}{\left({x}\right)}=-{1}+{{\log}_{{{2}}}{\left({x}\right)}}\) can be obtained from the graph of \(\displaystyle{{\log}_{{{2}}}{\left({x}\right)}}\) by translating it along the x-axis by 1 unit in the downward direction
In the graph below:
The blue dotted curve represents the graph for \(\displaystyle{y}={{\log}_{{{2}}}{x}}\)
The black solid curve represents the graph for \(\displaystyle{y}=-{1}+{{\log}_{{{2}}}{x}}\)
image
Not exactly what you’re looking for?
Ask My Question
1
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-08-01
Begin by graphing
\(\displaystyle{f{{\left({x}\right)}}}={\log{{2}}}{x}\)
Then use transformations of this graph to graph the given function. What is the graph's x-intercept? What is the vertical asymptote? Use the graphs to determine each functions domain and range.
\(\displaystyle{r}{\left({x}\right)}={{\log}_{{{2}}}{\left(-{x}\right)}}\)
asked 2021-08-10
Begin by graphing
\(\displaystyle{f{{\left({x}\right)}}}={{\log}_{{{2}}}{x}}\)
Then use transformations of this graph to graph the given function. What is the graph's x-intercept? What is the vertical asymptote? Use the graphs to determine each function's domain and range.
\(\displaystyle{g{{\left({x}\right)}}}={{\log}_{{{2}}}{\left({x}-{2}\right)}}\)
asked 2021-08-05

Begin by graphing
\(f(x)= \log_{2}x.\)
Then use transformations of this graph to graph the given function. What is the graph's x-intercept? What is the vertical asymptote? Use the graphs to determine each functions domain and range.
\(\displaystyle{h}{\left({x}\right)}=-{1}+{{\log}_{{{2}}}{x}}\)

asked 2020-10-27
Begin by graphing \(\displaystyle{f{{\left({x}\right)}}}={{\log}_{{{2}}}{x}}\) Then use transformations of this graph to graph the given function. What is the graph's x-intercept? What is the vertical asymptote? Use the graphs to determine each function's domain and range. \(\displaystyle{r}{\left({x}\right)}={{\log}_{{{2}}}{\left(-{x}\right)}}\)
asked 2021-02-21
Begin by graphing \(\displaystyle{f{{\left({x}\right)}}}=\ {{\log}_{{{2}}}{x}}\) Then use transformations of this graph to graph the given function. What is the graph's x-intercept? What is the vertical asymptote? Use the graphs to determine each function's domain and range. \(\displaystyle{g{{\left({x}\right)}}}=\ {{\log}_{{{2}}}{\left({x}\ -\ {2}\right)}}\)
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.
\(\displaystyle{h}{\left({x}\right)}={2}^{{{x}+{1}}}-{1}\)
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.
\(\displaystyle{g{{\left({x}\right)}}}={2}\cdot{2}^{{{x}}}\)
...