Math 125 problems 1

# Math 125 problems 1 - MATH 125 PROBLEM SESSION#1 Section...

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Selected problems were taken from Blitzer’s PreCalculus MATH 125 PROBLEM SESSION #1 Section 1.1 1. Graph the following equations using a table of values. Let x = -3, -2, -1, 0, 1, 2, and 3. a) b) c) | | 2. Use the graph to a) determine the x-intercepts if any, b) determine the y- intercepts, if any. Section 1.2 1. Explain in your own words the difference between the domain of a function and the range of a function and then tell whether each relation is a function and give the domain and range. a. {( ) ( ) ( ) ( )} b. {( ) ( ) ( ) ( )} 2. Explain why the vertical line test for determining if the graph of a relation is a function works. Then, use the vertical line test to identify whether in the graphs given y is a function of x. a) b) 3. Evaluate ( ) at the given values of the independent variable and simplify. a) ( ) b) ( ) c ) (– ) 4. Explain why a linear function f(x) = mx + b with m 0 has exactly one zero. 5. Is it ever true that for a function f(a + b) = f(a) + f(b)? If so, give an example of such a and b .

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