use the graph to find the following
a. f(3)
b. the domain
c. any x- value for which f(x)=2
d. the range
To answer these questions using a graph, you need to have access to the graph itself. If you have a physical copy of the graph, you can visually analyze it. However, if you have a digital copy or access to graphing software, you can use the provided tools to find the answers more precisely.
a. To find f(3), locate the point on the x-axis where x = 3. From there, trace vertically upwards or downwards until you intersect the graph. The y-coordinate of the intersection point represents f(3).
b. To determine the domain of the function, examine the x-axis on the graph. The domain is the set of all possible x-values for which the function is defined. Read the range of values that x can take from the graph, excluding any gaps or discontinuities. This will provide you with the domain.
c. To find any x-value for which f(x) = 2, look for points on the graph where the y-coordinate is equal to 2. Trace horizontally from 2 on the y-axis until you intersect the graph. The x-coordinate of the intersection point(s) represents an x-value(s) at which f(x) is equal to 2.
d. To identify the range, examine the y-axis on the graph. The range is the set of all possible y-values that the function takes. Identify the minimum and maximum values of y by examining the graph. This will give you the range.
Remember, these instructions are general, and the specific details may vary depending on the graph you are working with.
Unfortunately, I cannot see the graph you are referring to. However, I can still guide you on how to find the information you need.
a. To find f(3), you need to locate the point on the graph where x = 3. Once you find that point, you can determine the corresponding y-value, which represents f(3).
b. The domain is the set of all possible x-values for which the function is defined. In order to determine the domain from a graph, you need to examine the x-axis and identify the range of x-values covered by the graph.
c. To find any x-value for which f(x) = 2, you will need to look for points on the graph where y = 2. Examine the curve and locate the points where it intersects the line at y = 2. The corresponding x-values of these points represent the desired x-value(s).
d. The range is the set of all possible y-values that the function can take. Similar to the domain, you need to examine the y-axis to identify the range of y-values covered by the graph.
Remember, without the graph, I cannot provide exact values. However, these general instructions should still be helpful in finding the information you need from the graph.
http://www.purplemath.com/modules/fcns2.htm
a. (3, ?)
b. all values in which x exist
c. (?, 2)
d. all values in which y exist