Refer to the below figure, which of the following functions is graphed ? (unit length = 1 unit)
Question
Refer to the below figure, which of the following functions is graphed?
(unit length = 1 unit)
Solution
To determine the function graphed in the provided figure, we would typically analyze the key features of the graph, such as its shape, intercepts, and behavior as it approaches infinity. Here are some steps you can follow:
-
Analyze Key Features
- Look for intercepts: Identify where the graph crosses the x-axis and y-axis.
- Determine the shape: Is it linear, quadratic, or another form (exponential, logarithmic, etc.)?
- Observe symmetry: Check if the graph has symmetry about the y-axis (even function) or about the origin (odd function).
-
Compare with Known Functions
- Based on the characteristics identified, compare the graph to known functions:
- Linear functions (e.g., )
- Quadratic functions (e.g., )
- Cubic functions (e.g., )
- Trigonometric functions (e.g., )
- Exponential functions (e.g., )
- Based on the characteristics identified, compare the graph to known functions:
-
Consider Periodicity and Asymptotes
- If the graph displays periodic behavior, it could indicate a trigonometric function.
- Check for any vertical or horizontal asymptotes, suggesting rational or logarithmic functions.
-
Confirm Findings
- Once you’ve deduced potential functions, confirm the points and slopes to ensure they fit the observed graph.
Final Answer
Without the visual context of the figure, I cannot specify which function is graphed. However, you can identify the nature of the function by analyzing the intercepts, shape, symmetry, and comparing these characteristics with established mathematical functions.
Similar Questions
Select the correct answer.What is the range of the function shown on the graph above?
The graph of is shifted 5 units _________ of g(x) - axis and 3 units __________ of x - axis.A Right, Up B Right, Down C Left, Down D Right, Right
Which could be the function graphed below? On a coordinate plane, a curve opens down and to the right. In quadrants111and444, the curve starts on theyyy-axis in quadrant444and goes through thexxx-axis into quadrant111.
Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below.The graph g(x) is the graph of f(x) translated units , and g(x) = .
The graph below shows the height of a basketball after it is thrown towards a basketball hoop.Which of the following gives the domain for this function?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.