1. Given f(x) = 2* and g(x) = 3*,a. complete the table of values-4-3-2-1134f(x) = 2*g(x) = 3*b. Sketch the graphs in one coordinate planec. Identify the domain, range, y-intercept, and horizontal asymptote ofeach function.2. The population of Brgy. Sta. Isabel starts with 1,000 individuals andtriples every 50 years.(a) Give an exponential model for the situation.(b) What is the size of the population after 100 years?3. Ms. Lara invested Php100,000 in a bank with an interest rate of 3%compounded annually.(a) Give an exponential model for the situation(b) What is the amount of her investment after 15 years?C. True or False.1. f(x) = 3x? is an exponential function2. Íf f(x) = 5*, then f(-1) = -53. The function f(x) = 1* is an exponential function.4. The function f(x) = (-3)* is an exponential function.5. If x = 0, then the function f(x) = b* is equal to 1.

1. Given f(x) = 2* and g(x) = 3*, a. complete the table of values -4 -3 -2 -1 1 2 4 f(x) = 2* g(x) = 3* %3D b. Sketch the graphs in one coordinate plane c. Identify the domain, range, y-intercept, and horizontal asymptote of each function.

1. Given f(x) = 2* and g(x) = 3, a. complete the table of values -4 -3 -2 -1 1 2 4 f(x) = 2 g(x) = 3* %3D b. Sketch the graphs in one coordinate plane c. Identify the domain, range, y-intercept, and horizontal asymptote of each function.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Concept explainers

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

Question

1. Given f(x) = 2* and g(x) = 3*,
a. complete the table of values
-4
-3
-2
-1
1
3
4
f(x) = 2*
g(x) = 3*
b. Sketch the graphs in one coordinate plane
c. Identify the domain, range, y-intercept, and horizontal asymptote of
each function.
2. The population of Brgy. Sta. Isabel starts with 1,000 individuals and
triples every 50 years.
(a) Give an exponential model for the situation.
(b) What is the size of the population after 100 years?
3. Ms. Lara invested Php100,000 in a bank with an interest rate of 3%
compounded annually.
(a) Give an exponential model for the situation
(b) What is the amount of her investment after 15 years?
C. True or False.
1. f(x) = 3x? is an exponential function
2. Íf f(x) = 5*, then f(-1) = -5
3. The function f(x) = 1* is an exponential function.
4. The function f(x) = (-3)* is an exponential function.
5. If x = 0, then the function f(x) = b* is equal to 1.

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