Analyzing Graphs - Grade 12 Math
This worksheet focuses on analyzing various types of graphs, interpreting data, and understanding graphical representations of functions and statistical information relevant for Grade 12 Math.
Includes
Standards
Topics
Analyzing Graphs
Name:
Date:
Score:
Read each question carefully and analyze the given graphs to provide the most accurate answer. Show all your work where applicable.
1. The graph of a function f(x) is shown below. At which point does the function have a local maximum?
(-2, 3)
(0, 1)
(2, 0)
(3, -2)
2. Which of the following statements is true about the function represented by the graph above?
The domain is all real numbers.
The range is all real numbers.
The function is increasing on the interval (0, 2).
The function has a y-intercept at (0, 0).
3. The of a graph describes the behavior of the function as x approaches positive or negative infinity.
4. A vertical asymptote occurs at values of x where the denominator of a rational function is and the numerator is non-zero.
5. A function can have more than one y-intercept.
True
False
6. If a function is symmetric with respect to the y-axis, it is an odd function.
True
False
7. Describe the end behavior of the function f(x) = -x³ + 2x² - 5.
8. Analyze the bar graph below which shows the number of students who chose different subjects in a survey.
a) Which subject was chosen by the most students?
b) How many more students chose Math than History?
c) What is the total number of students surveyed?