Advanced Mathematical Concepts: Precalculus with by Berchie Holliday

By Berchie Holliday

Ebook by way of Holliday, Berchie, Cuevas, Gilbert J., McClure, Melissa S.

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Guided Practice x Journal Write a sentence or two to describe (0, Ϫ3) Write an equation in slope-intercept form for each line described. 1 6. slope ϭ Ϫᎏᎏ, y-intercept ϭ Ϫ10 4 8. passes through (5, 2) and (7, 9) 7. slope ϭ 4, passes through (3, 2) 9. horizontal and passes through (Ϫ9, 2) 10. Botany Do you feel like every time you cut the grass it needs to be cut again right away? Be grateful you aren’t cutting the Bermuda grass that grows in Africa and Asia. 9 inches per day! Suppose you cut a Bermuda grass plant to a length of 2 inches.

Use the slope to graph a second point. Connect the points to graph the line. y 4 O 3 x (0, Ϫ2) Lesson 1-3 Graphing Linear Equations 21 Graphing Calculator Appendix For keystroke instruction on how to graph linear equations, see page A5. b. 2x ϩ y ϭ 5 y Rewrite the equation in slope-intercept form. (0, 5) 2x ϩ y ϭ 5 → y ϭ Ϫ2x ϩ 5 Ϫ2 The y-intercept is 5. Graph (0, 5). Then use the slope to graph a second point. Connect the points to graph the line. 1 O x There are four different types of slope for a line.

The zeros of a function are the ΂ b m ΃ x-intercepts. Thus, for a linear function, the x-intercept has coordinates Ϫᎏᎏ, 0 . In the case where m ϭ 0, we have f(x) ϭ b. This function is called a constant function and its graph is a horizontal line. The constant function f(x) ϭ b has no zeros when b 0 or every value of x is a zero if b ϭ 0. Example Graphing Calculator Appendix For keystroke instruction on how to find the zeros of a linear function using the CALC menu, see page A11. 22 4 Find the zero of each function.

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