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15.
Chapter 2 Graphs and Functions
f ( x) 3x The x-intercept and the y-intercept are both zero. This gives us only one point, (0, 0). If x = 1, y = 3(1) = 3 . Another point is (1, 3). Graph the line through (0, 0) and (1, 3).
domain: , ; range: {3} 19.
f ( x) 0 is a constant function whose graph is the x-axis.
domain: , ; range: {0} The domain and range are both , . f x –2 x 16. The x-intercept and the y-intercept are both zero. This gives us only one point, (0, 0). If x = 3, y = –2(3) = – 6, so another point is (3, – 6). Graph the line through (0, 0) and (3, – 6).
f x 9x 20. The domain and range are both , . 4 x 3 y 12 21. Use the intercepts. 4 0 3 y 12 3 y 12 y 4 : y-intercept 4 x 3 0 12 4x 12 x 3 : x-intercept Graph the line through (0, 4) and (−3, 0).
The domain and range are both , . f ( x) – 4 is a constant function. 17. The graph of f ( x) 4 is a horizontal line with a y-intercept of – 4.
The domain and range are both , . 22. 2x 5 y 10; Use the intercepts. 2 0 5 y 10 5 y 10 y 2 : y-intercept 2 x 5 0 10 2 x 10 x 5 : x-intercept Graph the line through (0, 2) and (5, 0):
domain: , ; range: {– 4} 18.
f ( x) 3 is a constant function whose graph is a horizontal line with y-intercept of 3.
The domain and range are both , .
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