Pre-Calc Homework Solutions 56

Pre-Calc Homework Solutions 56 - 56 10. Section 2.3 x is...

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10. [ 2 2.7, 6.7] by [ 2 6, 6] A graph of f ( x ) is shown. The range of f ( x ) is ( 2‘ , 1) < [2, ). The values of c for which f ( x ) 5 c has no solution are the values that are excluded from the range. Therefore, c can be any value in [1, 2). Section 2.3 Exercises 1. The function y 5 } ( x 1 1 2) 2 } is continuous because it is a quotient of polynomials, which are continuous. Its only point of discontinuity occurs where it is undefined. There is an infinite discontinuity at x 52 2. 2. The function y 5 } x 2 2 x 1 4 x 1 1 3 } is continuous because it is a quotient of polynomials, which are continuous. Its only points of discontinuity occur where it is undefined, that is, where the denominator x 2 2 4 x 1 3 5 ( x 2 1)( x 2 3) is zero. There are infinite discontinuities at x 5 1 and at x 5 3. 3. The function y 5 } x 2 1 1 1 } is continuous because it is a quotient of polynomials, which are continuous. Furthermore, the domain is all real numbers because the
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