Gizmo Warm-up An exponential function contains a number raised to a variable exponent. In general, exponential functions have the form y = a • •bkx. In the Exponential Functions Gizmo, you can explore the effects of the values of a, b, and k on the graph of the exponential function. You can vary the values of a, b, and k by dragging the sliders. To enter a specific value, click on the number in the text field, type in the new value and hit ENTER. 1. Use the slider to vary the value of b. -8 -6 -4 -2 B. Describe the graph when b is decreasing and less than 1. do 2. What point do all functions of the form y = bx have in common? Explain why. 8 6 4 2 A. Describe the graph when b is increasing and greater than 1. -2 y 2 4 6 8
Gizmo Warm-up An exponential function contains a number raised to a variable exponent. In general, exponential functions have the form y = a • •bkx. In the Exponential Functions Gizmo, you can explore the effects of the values of a, b, and k on the graph of the exponential function. You can vary the values of a, b, and k by dragging the sliders. To enter a specific value, click on the number in the text field, type in the new value and hit ENTER. 1. Use the slider to vary the value of b. -8 -6 -4 -2 B. Describe the graph when b is decreasing and less than 1. do 2. What point do all functions of the form y = bx have in common? Explain why. 8 6 4 2 A. Describe the graph when b is increasing and greater than 1. -2 y 2 4 6 8
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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Transcribed Image Text:Gizmo Warm-up
An exponential function contains a number
raised to a variable exponent. In general,
exponential functions have the form y = a • •bkx.
In the Exponential Functions Gizmo, you can
explore the effects of the values of a, b, and k
on the graph of the exponential function.
You can vary the values of a, b, and k by
dragging the sliders. To enter a specific value,
click on the number in the text field, type in the
new value and hit ENTER.
1. Use the slider to vary the value of b.
-8 -6
-4 -2
B. Describe the graph when b is decreasing and less than 1.
do
2. What point do all functions of the form y = bx have in common?
Explain why.
8
6
4
2
A. Describe the graph when b is increasing and greater than 1.
-2
y
2
4
6
8
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