For each function in Exercises 1-16 , (a) find the simplified from of the different of the different quotient and then (b) complete the following table, x h f ( x + h ) − f ( x ) h 5 2 5 1 5 0.1 5 0.01 f ( x ) = x 2 + 4 x − 3 a. 2 x + h + 4 ; b. 16 , 15 , 14.1 , 14.01
For each function in Exercises 1-16 , (a) find the simplified from of the different of the different quotient and then (b) complete the following table, x h f ( x + h ) − f ( x ) h 5 2 5 1 5 0.1 5 0.01 f ( x ) = x 2 + 4 x − 3 a. 2 x + h + 4 ; b. 16 , 15 , 14.1 , 14.01
Solution Summary: The author explains the simplified form of the difference quotient of f(x) = 2+4x-3.
For each function in Exercises 1-16, (a) find the simplified from of the different of the different quotient and then (b) complete the following table,
3.
Give the function, f(x)=x²+5x-24
Find f(0)
a.
orlt novia
noitonut ors
b. Find f(-1)
c. Find f(-3)
4. Explain what the benefit is of using function
notation to evaluate for inputs and outputs of
functions.
Refer to the graph of the function f in the following figure.
=
65
5
-2*
(a) Find f(0).
f(0)
4
3-
2-
1+
X =
(i) f(x) = 3
X =
(ii) f(x) = 0
X
(b) Find the value of x for which f(x) = 3 and f(x) = 0.
X
4
X
y = f(x)
5
X
Exercises 37-42: Complete the following for the function f.
(a) Evaluate f(x) at the indicated values of x.
(b) Find the domain of f. Use interval notation.
37. f(x) = 5 for x = -3, 1.5
38. f(x) = 4 - 5x for x = -5, 6
39. f(x) = x² – 3 for x= -10, a + 2
40. f(x) = x' - 3x for x = -10, a + 1
41. f(x) =4 for x = -3, a + 1
42. f(x) = Vx + 3 for x = 1, a - 3
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