Characteristics of Graphs
Explore key characteristics of graphs including intercepts, slope, domain, and range with this Grade 9 math worksheet.
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Characteristics of Graphs
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Read each question carefully and provide your answers in the spaces provided. Show all your work for full credit.
1. For the graph of the equation y = 2x + 4:
a) What is the x-intercept?
b) What is the y-intercept?
2. Determine if the following statements about slope are True or False.
a) A horizontal line has an undefined slope.
True
False
b) The slope of the line passing through (1, 2) and (3, 6) is 2.
True
False
3. Which of the following best describes the domain of the function shown in the graph below?
All real numbers
x ≥ 0
y ≥ 0
x ≤ 0
4. Complete the following sentences with the correct graph terminology.
a) The set of all possible input values for a function is called the .
b) The point where a graph crosses the y-axis is known as the .
5. Consider the linear function represented by the equation y = -3x + 6.
a) What is the slope of this line?
b) Does the graph of this function increase or decrease from left to right?