4a. State if the following are True or False The constant k in y = is called constant of proportionality. If k> 1, the graph of function f(kx) is horizontally stretched. A linear function model passes through every point of a data set. Hence the model will perfectly forecast unknown function values When the function is decreasing as the input value increases, the graph of the function is always concave up. If a > 0, then the parabola opens down.

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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4a. State if the following are True or False
The constant k in y
k
= - is called constant of proportionality.
If k> 1, the graph of function f(kx) is horizontally stretched.
A linear function model passes through every point of a data set. Hence the model will
perfectly forecast unknown function values
When the function is decreasing as the input value increases, the graph of the function
is always concave up.
If a > 0, then the parabola opens down.
4b. A homeowner wants to enclose a portion of the backyard for a rectangular garden as shown below
garden
The garden is fenced off on two of its sides. If the homeowner has 70 feet of fencing, write the equation
for the area, A, of the garden in terms of its width, w.
bes
Transcribed Image Text:4a. State if the following are True or False The constant k in y k = - is called constant of proportionality. If k> 1, the graph of function f(kx) is horizontally stretched. A linear function model passes through every point of a data set. Hence the model will perfectly forecast unknown function values When the function is decreasing as the input value increases, the graph of the function is always concave up. If a > 0, then the parabola opens down. 4b. A homeowner wants to enclose a portion of the backyard for a rectangular garden as shown below garden The garden is fenced off on two of its sides. If the homeowner has 70 feet of fencing, write the equation for the area, A, of the garden in terms of its width, w. bes
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