CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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Exercises 57-60: Decide whether the function f is constant,
linear, or nonlinear.
57. f(x) = 8 – 3x
58. f(x) = 2x² = 3x = 8
59. f(x) = |x + 2|
60. f(x) = 6
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Determine whether the equation defines y as a function of x. (See Example 9.)
* + (y - 8)? =
O is a function
O is not a function
13
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- Exercises 47-50: Write a formula for a linear function f whose graph satisfies the conditions. 47. Slope - y-intercept (0. ) 48. Slope –122, y-intercept (0, 805) 49. Slope 15, passing through the origin 50. Slope 1.68, passing through (0, 1.23)arrow_forwardIn Exercises 55-58, find the indicated function values for each function. 55. f(x) = Vx – 1; f(28), f(9). f(0). f(-63) 56. f(x) = Vx – 3; f(30), f(11), f(2), f(-122) 57. g(x) = - V8x – 8; g(2), g(1), g(0) 58. g(x) = - V2x + 1; g(13), g(0), g(-63)arrow_forwardwhat’s the value?arrow_forward
- The bar graph shows the wage gap between men and women for selected years Wage Gap Between Men and Women from 1980 through 2020. The function G(x) = - 0.01x2 + x+ 55 models the wage gap, as a percent, x years after 1980. The graph of function G is also shown. Use this information to complete parts a and b. 100- 78% 82% 82% 80구 71% 65% 60- ... 40- a. Find and interpret G(10). 20구 01 1980 1990 2000 2010 2020 O A. G(10)= 71, which represents a wage gap of 71% in the year 1990. Year B. G(10) = 64, which represents a wage gap of $64,000 in the year 1990. The Graph of a Function Modeling the Data C. G(10) = 64, which represents a wage gap of 1% in the year 1990. 100+ D. G(10) = 71, which represents a wage gap of $71,000 in the year 1990. 80구 60- G(x}= -0.01x+x + 55 40- 20- 0+ 5 10 15 20 25 30 35 40 Years after 1980 Wage Gap (percent) Wage Gap (percent)arrow_forwardIn Exercises 24-25, find the domain of each function. 24. f(x) = V30 – 5x 25. g(x) = V3x – 15arrow_forward5- -5 5 -5- Determine the values of a, b, c, and d so the function (a - a) (x + 1) (x + b) (x- c) (x + d) (x + 3) f (x) = correctly model the graph. (a, b, c, and d are all whole numbers) a = 5,arrow_forward
- Name 2.2 Practice A In Exercises 1-12, graph the function. Label the vertex and axis of symmetry. 1. f(x) = (x − 2)² - 3. g(x) = (x + 2)² + 4 5. y = −3(x − 1)² + 3 - 7. y = x² - 2x + 1 9. y = -3x² + 6x + 4 2. f(x) = (x + 1)² 4. h(x) = (x − 3)² - 2 - 6. f(x) = 4(x + 2)² – 1 8. y = 3x² + 6x + 1 - 11. g(x) = −x² + 2 10. f(x) = -x²+6x-3 12. f(x) = 5x² 4 13. Explain why you cannot use the axes of symmetry to distinguish between the quadratic functions y = 3x²+12x1 and y = x² + 4x + 5. 14. Which function represents the parabola with the narrowest graph? Explain your reasoning. Datearrow_forwardCan you please help me out?arrow_forward
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