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
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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.
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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