Characteristics of Graphs Worksheet
Explore key characteristics of graphs including domain, range, intercepts, symmetry, and end behavior with this Grade 10 math worksheet.
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Characteristics of Graphs
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Read each question carefully and provide detailed answers. Use the provided graph to answer the questions in Section A.
Analyze the graph below and answer the following questions.
1. What is the domain of the function shown in the graph?
2. What is the range of the function shown in the graph?
3. Identify the x-intercept(s) of the function.
4. Identify the y-intercept(s) of the function.
1. A function is considered to have even symmetry if its graph is symmetric with respect to the:
x-axis
y-axis
origin
line y = x
2. Which of the following describes the end behavior of the function f(x) = x^2 as x approaches positive infinity?
f(x) approaches negative infinity
f(x) approaches positive infinity
f(x) approaches 0
f(x) oscillates
1. The set of all possible input values (x-values) for which a function is defined is called the .
2. A function is if its graph can be divided into two matching parts by a vertical line.
3. An is a line that the graph of a function approaches as x or y extends to infinity.
1. Describe the difference between increasing and decreasing intervals of a function.
2. Explain what a vertical asymptote represents on a graph.