The function f(x) = 5x is an exponential function with base ;(-2)%3= (0) = f(2) 3= and f(6) = %3D %3D
The function f(x) = 5x is an exponential function with base ;(-2)%3= (0) = f(2) 3= and f(6) = %3D %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How would I solve what f(number inserted) equals?
![The function \( f(x) = 5^x \) is an exponential function with base ________; \( f(-2) = ________, f(0) = ________, f(2) = ________, \) and \( f(6) = ________ \).
---
(a) To obtain the graph of \( g(x) = 2^x - 1 \), we start with the graph of \( f(x) = 2^x \) and shift it ________ (upward/downward) 1 unit.
(b) To obtain the graph of \( h(x) = 2^{x-1} \), we start with the graph of \( f(x) = 2^x \) and shift it to the ________ (left/right) 1 unit.
---
**Graphing Exponential Functions**
Sketch the graph of the function by making a table of values. Use a calculator if necessary.
\[ f(x) = 2^x \]
---
Graphing Exponential Functions
Sketch the graph of the function by making a table of values. Use a calculator if necessary.
\[ g(x) = 8^x \]
---
**Exponential Functions from a Graph**
Find the exponential function \( f(x) = a^x \) whose graph is given.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a964dfa-fa3d-457e-93f0-1e294b51c87a%2F83d4b86c-692a-4aec-a8a6-8bc07333b1f8%2Fmh094x4.jpeg&w=3840&q=75)
Transcribed Image Text:The function \( f(x) = 5^x \) is an exponential function with base ________; \( f(-2) = ________, f(0) = ________, f(2) = ________, \) and \( f(6) = ________ \).
---
(a) To obtain the graph of \( g(x) = 2^x - 1 \), we start with the graph of \( f(x) = 2^x \) and shift it ________ (upward/downward) 1 unit.
(b) To obtain the graph of \( h(x) = 2^{x-1} \), we start with the graph of \( f(x) = 2^x \) and shift it to the ________ (left/right) 1 unit.
---
**Graphing Exponential Functions**
Sketch the graph of the function by making a table of values. Use a calculator if necessary.
\[ f(x) = 2^x \]
---
Graphing Exponential Functions
Sketch the graph of the function by making a table of values. Use a calculator if necessary.
\[ g(x) = 8^x \]
---
**Exponential Functions from a Graph**
Find the exponential function \( f(x) = a^x \) whose graph is given.
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