-2 -5 0 -4 2 -1 4 6 f(x) 11 +1 +3 +5 +7lb 5. The table above shows values for a function f at selected values of x. Which of the following statements about f best fits these data? 4 f is best modeled by a linear function because the rate of change over consecutive equal- length input-value intervals is constant. (B) f is best modeled by a linear function because the change in the average rates of change over consecutive equal-length input-value intervals is constant. f is best modeled by a quadratic function because the rate of change over consecutive equal- length input-value intervals is constant. (D) f is best modeled by a quadratic function because the change in the average rates of change over consecutive equal-length input-value intervals is constant.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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X
O
f(x)
-2
-5
0
-4
2
-1
4
4
6
11
о
+1
+3
+5
+7
5. The table above shows values for a function f at selected values of x. Which of the following statements about f
best fits these data?
(A)
f is best modeled by a linear function because the rate of change over consecutive equal-
length input-value intervals is constant.
(B) f is best modeled by a linear function because the change in the average rates of change over
consecutive equal-length input-value intervals is constant.
f is best modeled by a quadratic function because the rate of change over consecutive equal-
length input-value intervals is constant.
eln
(D) f is best modeled by a quadratic function because the change in the average rates of change
over consecutive equal-length input-value intervals is constant.
(B)
6
Con
6. The polynomial function p is given by p(x)=-x(x+3)(x-2)². Which of the following could be the graph of p?
(A)
Y
Y
O
Transcribed Image Text:X O f(x) -2 -5 0 -4 2 -1 4 4 6 11 о +1 +3 +5 +7 5. The table above shows values for a function f at selected values of x. Which of the following statements about f best fits these data? (A) f is best modeled by a linear function because the rate of change over consecutive equal- length input-value intervals is constant. (B) f is best modeled by a linear function because the change in the average rates of change over consecutive equal-length input-value intervals is constant. f is best modeled by a quadratic function because the rate of change over consecutive equal- length input-value intervals is constant. eln (D) f is best modeled by a quadratic function because the change in the average rates of change over consecutive equal-length input-value intervals is constant. (B) 6 Con 6. The polynomial function p is given by p(x)=-x(x+3)(x-2)². Which of the following could be the graph of p? (A) Y Y O
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