Begin by graphing f(x) = log x. Use transformations of this graph to graph the given function. Graph and give the equation of the asymptote. Use the graphs to determine the function's domain and range. h(x) = log x-8 Graph h(x) = log x-8. Graph the asymptote of h(x) as a dashed line. Use the graphing tool to graph the function. Click to enlarge graph What is the vertical asymptote of h(x)? (Type an equation.) What is the domain of h(x) = log x-8? (Simplify your answer. Type your answer in interval notation.) What is the range of h(x) = log x-8? Q G
Begin by graphing f(x) = log x. Use transformations of this graph to graph the given function. Graph and give the equation of the asymptote. Use the graphs to determine the function's domain and range. h(x) = log x-8 Graph h(x) = log x-8. Graph the asymptote of h(x) as a dashed line. Use the graphing tool to graph the function. Click to enlarge graph What is the vertical asymptote of h(x)? (Type an equation.) What is the domain of h(x) = log x-8? (Simplify your answer. Type your answer in interval notation.) What is the range of h(x) = log x-8? Q G
Begin by graphing f(x) = log x. Use transformations of this graph to graph the given function. Graph and give the equation of the asymptote. Use the graphs to determine the function's domain and range. h(x) = log x-8 Graph h(x) = log x-8. Graph the asymptote of h(x) as a dashed line. Use the graphing tool to graph the function. Click to enlarge graph What is the vertical asymptote of h(x)? (Type an equation.) What is the domain of h(x) = log x-8? (Simplify your answer. Type your answer in interval notation.) What is the range of h(x) = log x-8? Q G
If possible, please circle the answer period so that I can understand the answer. Mark each part of the question so that I know which answer is related to which question. Please answer the whole question when answering, because I noticed that the answer to the question was left unfinished in the past. Thank you for understanding.
Transcribed Image Text:### Graphing Logarithmic Functions
Begin by graphing \( f(x) = \log x \). Use transformations of this graph to graph the given function. Graph and give the equation of the asymptote. Use the graphs to determine the function's domain and range.
**Given Function:**
\[ h(x) = \log (x - 8) \]
**Instructions:**
1. Graph \( h(x) = \log (x - 8) \).
2. Graph the asymptote of \( h(x) \) as a dashed line. Use the graphing tool to graph the function.
**Questions:**
1. **What is the vertical asymptote of \( h(x) \)?**
- [Input Box for Equation]
- *(Type an equation.)*
2. **What is the domain of \( h(x) = \log (x - 8) \)?**
- [Input Box for Domain]
- *(Simplify your answer. Type your answer in interval notation.)*
3. **What is the range of \( h(x) = \log (x - 8) \)?**
- [Input Box for Range]
- *(Simplify your answer. Type your answer in interval notation.)*
**Graph Explanation:**
- The graph is a standard Cartesian plane with \( x \)-axis and \( y \)-axis both labeled with integers from -15 to 15.
- The graphing area shows a logarithmic curve which would generally shift 8 units to the right due to the transformation \( \log(x-8) \).
- To graph \( h(x) = \log (x - 8) \), note that the vertical asymptote occurs where the argument of the logarithm is zero, meaning \( x = 8 \).
Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
![### Graphing Logarithmic Functions
Begin by graphing \( f(x) = \log x \). Use transformations of this graph to graph the given function. Graph and give the equation of the asymptote. Use the graphs to determine the function's domain and range.
**Given Function:**
\[ h(x) = \log (x - 8) \]
**Instructions:**
1. Graph \( h(x) = \log (x - 8) \).
2. Graph the asymptote of \( h(x) \) as a dashed line. Use the graphing tool to graph the function.
**Questions:**
1. **What is the vertical asymptote of \( h(x) \)?**
- [Input Box for Equation]
- *(Type an equation.)*
2. **What is the domain of \( h(x) = \log (x - 8) \)?**
- [Input Box for Domain]
- *(Simplify your answer. Type your answer in interval notation.)*
3. **What is the range of \( h(x) = \log (x - 8) \)?**
- [Input Box for Range]
- *(Simplify your answer. Type your answer in interval notation.)*
**Graph Explanation:**
- The graph is a standard Cartesian plane with \( x \)-axis and \( y \)-axis both labeled with integers from -15 to 15.
- The graphing area shows a logarithmic curve which would generally shift 8 units to the right due to the transformation \( \log(x-8) \).
- To graph \( h(x) = \log (x - 8) \), note that the vertical asymptote occurs where the argument of the logarithm is zero, meaning \( x = 8 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc29afaca-2bcc-449e-b541-aa3eef827b4a%2F06664464-c409-4d4c-a83d-7714e3470093%2Fuy38xm6_processed.jpeg&w=3840&q=75)
