For each function in Exercises 5-8, evaluate (a) g ( 0 , 0 , 0 ) ; (b) g ( 1 , 0 , 0 ) ; (c) g ( 0 , 1 , 0 ) ; (d) g ( z , x , y ) ; and (e) g ( x + h , y + k , z + l ) ; provided that such a value exists. g ( x , y , z ) = x y z x 2 + y 2 + z 2
For each function in Exercises 5-8, evaluate (a) g ( 0 , 0 , 0 ) ; (b) g ( 1 , 0 , 0 ) ; (c) g ( 0 , 1 , 0 ) ; (d) g ( z , x , y ) ; and (e) g ( x + h , y + k , z + l ) ; provided that such a value exists. g ( x , y , z ) = x y z x 2 + y 2 + z 2
Find real numbers a, b, and c so that the graph of the function f(x) = ax2 +bx + c
contains the points (-1, -6), (1, 4), and (2, 0). Use this model to predict f(4).
In Exercises 53-58, evaluate each piecewise function at the given
values of the independent variable.
3x + 5 if x <0
14x + 7 if x2 0
53. f(x) =
a. f-2)
b. f(0)
с. (3)
(6x – 1 if x <0
7x + 3 if x 2 0
54. f(x) :
a. f-3)
b. f(0)
с. f(4)
Sx + 3
l-(x + 3) if x< -3
if x2 -3
55. g(x)
a. g(0)
b. g(-6)
c. g(-3)
Sx + 5
l-(x + 5) if x< -5
if x2 -5
56. g(x) =
a. g(0)
b. g(-6)
c. g(-5)
9
if x* 3
57. h(x) =
X - 3
if x = 3
а. h(5)
b. h(0)
c. h(3)
x - 25
if x + 5
58. h(x) :
X - 5
10
if x = 5
a. h(7)
b. h(0)
с. h(5)
6.
let f(x)=x2+4. simplify or evaluate the expression f(9+h) - f(9)/h
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