2 Graphs and Functions Graph each linear function. Give the domain and range. Identify any constant functions. See Examples 1 and 2. bns 0021 1 43. (x) = x- 6 11. f(x) = x – 4 12. f(x) = –x + 4 13. f(x) = -x - %3D 16. f(x) = -2x 14. f(x) = =x +2 blo: 17. f(x) = -4 15. f(x) = 3x 19. f(x) = 0 %3D 18. f(x) = 3 20. Concept Check Write the equation of the linear function f with graph having slope 9 and passing through the origin. Give the domain and range. Graph each line. Give the domain and range. See Examples 3 and 4. 23. 3y – 4x = 0 %3D 21. -4x + 3y = 12 22. 2x + 5y = 10 %3D 24. 3x + 2y = 0 25. x = 3 26. x = -4 %3D 27. 2x + 4 = 0 28. -3x + 6 = 0 29. -x+ 5 = 0 30. 3 + x = 0 Match each equation with the sketch that most closely resembles its graph. See Exam- ples 2 and 3. 31. y= 5 32. y =-5 33. х %3D5 34. x= -5 B. C. D. A.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.