32.) If f(x) = 3xr + 2 and g(x) = 2x² – 3, find 6f(-2) + 7g(1). %3D %3D -

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
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Please help me answer question 32 and 68
e. Graph the function.
For each graph given in Exercises 67–74, answer questions a
through f.
a. What is the domain of f?
b. What is the range of f?
c. Determine f(0).
d. For what values of x does f(x) = 0?
e. For what values of x is f(x) < 0?
f. Solve f(x) > 0.
67.
f(x)
68.
f(x)
(3,0)
(0,3)
(-1,0)
(1,0)
(0,-3)
(3,0)
Ta-4)
(2,-1)
69
f(x)
70.
f(x)
(-1,2)
(1,2)
(0,2.25)
(0,0)
(-1.5,0)
71.
72.
f(x)
f(x)
(-3,4)
(1.5,6.25)
Transcribed Image Text:e. Graph the function. For each graph given in Exercises 67–74, answer questions a through f. a. What is the domain of f? b. What is the range of f? c. Determine f(0). d. For what values of x does f(x) = 0? e. For what values of x is f(x) < 0? f. Solve f(x) > 0. 67. f(x) 68. f(x) (3,0) (0,3) (-1,0) (1,0) (0,-3) (3,0) Ta-4) (2,-1) 69 f(x) 70. f(x) (-1,2) (1,2) (0,2.25) (0,0) (-1.5,0) 71. 72. f(x) f(x) (-3,4) (1.5,6.25)
28. If f(x) = x + 3 and g(x)
3f(5) + 4g(-3).
29. If f(x) = x - 6 and g(x) = x-3, find
4f(7) - 3g(-5).
30. If f(x) = x – 6 and g(x) = r² - 3, find
8f(-8) + 5g(-6).
31. If f(x) = 2x + 3 and g(x) = 3.x – 2, find
5f(-4) + 2g(3).
32.) If f(x) = 3r + 2 and g(x) = 2x2 – 3, find
6f(-2) + 7g(1).
33. If f(x) = 3x² – 7 and g(x) = 5x + 9, find
5f(4) – 8g(3).
34. If f(x) = 3x - 7 and g(x) = 5x + 9, find
-2f(-6) -9g(-6).
35. If f(x) = x? - 2x + 10 and g(x) = x² + 1, find
3f(-4) - 28(3).
36. If f(x) = x – 2x + 10 and g(x) = x² + 1, find
7f(5) 5g(7).
37. If f(x) = x – 3, show that
f(a - b) # f(a) – f(b) for all values of a and b.
38. If f(x) = x + 4, show that
f(a + b) + f(a) + f(b) for all values of a and b.
39. If f(x) = 3x, show that f(a – b) = f(a) – f(b) for
= X ,
find
%3D
%3D
%3D
%3D
%3D
%3D
%3D
all values of a and b.
40. If f(x) = -12.x, show that f(a + b) = f(a) + f(b)
%3D
for all values of a and b.
41. If f(x) = x, show that f(a + b) # f(a) + f(h) f
all values of
Transcribed Image Text:28. If f(x) = x + 3 and g(x) 3f(5) + 4g(-3). 29. If f(x) = x - 6 and g(x) = x-3, find 4f(7) - 3g(-5). 30. If f(x) = x – 6 and g(x) = r² - 3, find 8f(-8) + 5g(-6). 31. If f(x) = 2x + 3 and g(x) = 3.x – 2, find 5f(-4) + 2g(3). 32.) If f(x) = 3r + 2 and g(x) = 2x2 – 3, find 6f(-2) + 7g(1). 33. If f(x) = 3x² – 7 and g(x) = 5x + 9, find 5f(4) – 8g(3). 34. If f(x) = 3x - 7 and g(x) = 5x + 9, find -2f(-6) -9g(-6). 35. If f(x) = x? - 2x + 10 and g(x) = x² + 1, find 3f(-4) - 28(3). 36. If f(x) = x – 2x + 10 and g(x) = x² + 1, find 7f(5) 5g(7). 37. If f(x) = x – 3, show that f(a - b) # f(a) – f(b) for all values of a and b. 38. If f(x) = x + 4, show that f(a + b) + f(a) + f(b) for all values of a and b. 39. If f(x) = 3x, show that f(a – b) = f(a) – f(b) for = X , find %3D %3D %3D %3D %3D %3D %3D all values of a and b. 40. If f(x) = -12.x, show that f(a + b) = f(a) + f(b) %3D for all values of a and b. 41. If f(x) = x, show that f(a + b) # f(a) + f(h) f all values of
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