y 3+ 2- 1- ++X -4-3-2-1 1 23 4 -3- y = flx) -4+ f(-4) = ? f(4) = ?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter0: Are You Ready For This Course?
Section0.B: Diagnostic Test: Algebraic Expressions
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Use the graph to determine a. the function’s domain; b. the function’s range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below graph.

y
3+
2-
1-
++X
-4-3-2-1
1 23 4
-3-
y = flx)
-4+
f(-4) = ? f(4) = ?
Transcribed Image Text:y 3+ 2- 1- ++X -4-3-2-1 1 23 4 -3- y = flx) -4+ f(-4) = ? f(4) = ?
Expert Solution
Step 1

given:

the graph of the function y=f(x).

 

Step 2

domain is the set of values for which the function is defined.

therefore, from the graph it can be seen that the function is defined for all values of x.

therefore the domain of the function y=f(x) is x-, that implies domain of the function is set of all real numbers.

 

range is the set of values which the function gives for the domain of the function.

therefore, from the graph it can be seen that the function gives values less than or equal to -2.

therefore the range of the function y=f(x) is y(-,-2].

the graph of the function y=f(x) never cuts the x axis therefore the value of the x-intercept is none.

 

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