True or False: 1. All exponential functions of the form f(x)=a^x−h +k, where h and k are real numbers, has a range of (0,∞). 2. All logarithmic functions of the form f(x)=log a⁡(x−h)+k has a range of (−∞,∞). 3. The solution set of the equations log4x = log4(3x+1) and x=3x+1 are equal because we can divide one equation by log4 resulting to the other equation.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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True or False:

1. All exponential functions of the form f(x)=a^x−h +k, where h and k are real numbers, has a range of (0,∞).

2. All logarithmic functions of the form f(x)=log a⁡(x−h)+k has a range of (−∞,∞).

3. The solution set of the equations log4x = log4(3x+1) and x=3x+1 are equal because we can divide one equation by log4 resulting to the other equation.

Question 1
All exponential functions of the form f(x) = a*-h + k, where h and k
are real numbers, has a range of (0, ∞).
True
O False
Question 2
All logarithmic functions of the form f(x) = log,(x – h) + k has a
range of (-00, co).
True
O False
Question 3
The solution set of the equations log4x
x = 3x + 1 are equal because we can divide one equation by log4
log4(3x + 1) and
resulting to the other equation.
O True
False
Transcribed Image Text:Question 1 All exponential functions of the form f(x) = a*-h + k, where h and k are real numbers, has a range of (0, ∞). True O False Question 2 All logarithmic functions of the form f(x) = log,(x – h) + k has a range of (-00, co). True O False Question 3 The solution set of the equations log4x x = 3x + 1 are equal because we can divide one equation by log4 log4(3x + 1) and resulting to the other equation. O True False
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