Look at the graph of a function below. 15 15 The function graphed above is the result of adding two functions, flx) and glx) . The function f is a sine function. What type of function is g? Explain why you chose your function. O sk) is an exponential function because the shape of the graph appears to be a curve with a periodic sine function making the wave. O sko is a quadratic function because the shape of the graph appears to be a parabola with a periodic sine function making the wave. O sx) is a linear function because the shape of the graph appears to be a straight line with a periodic sine function making the wave. gÍx) is an absolute value function because the shape of the graph appears to be a V-shape with a periodic sine function making the wave.
Look at the graph of a function below. 15 15 The function graphed above is the result of adding two functions, flx) and glx) . The function f is a sine function. What type of function is g? Explain why you chose your function. O sk) is an exponential function because the shape of the graph appears to be a curve with a periodic sine function making the wave. O sko is a quadratic function because the shape of the graph appears to be a parabola with a periodic sine function making the wave. O sx) is a linear function because the shape of the graph appears to be a straight line with a periodic sine function making the wave. gÍx) is an absolute value function because the shape of the graph appears to be a V-shape with a periodic sine function making the wave.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Topic Video
Question
What type of function is g?
![### Analyzing a Composite Function
#### Look at the graph of a function below.
[Graph Description: The graph presented shows a wave-like function plotted on the Cartesian plane. There are distinct curves and dips indicating a sinusoidal component. The function appears to be a combination of a wave added to another function, shaping the overall appearance of the graph.]

#### Explanation:
The function graphed above is the result of adding two functions, \( f(x) \) and \( g(x) \).
The function \( f \) is a sine function, which is a type of periodic function that oscillates smoothly.
**Question:**
What type of function is \( g \)? Explain why you chose your function.
Below are the possible choices with explanations to identify the type of function for \( g \):
- **Option A:** \( g(x) \) is an **exponential** function because the shape of the graph appears to be a curve with a periodic sine function making the wave.
- **Option B:** \( g(x) \) is a **quadratic** function because the shape of the graph appears to be a parabola with a periodic sine function making the wave.
- **Option C:** \( g(x) \) is a **linear** function because the shape of the graph appears to be a straight line with a periodic sine function making the wave.
- **Option D:** \( g(x) \) is an **absolute value** function because the shape of the graph appears to be a V-shape with a periodic sine function making the wave.
#### Determining the Type of Function \( g \):
Examine the overall shape and components of the graph:
- **Wave Patterns:** The periodic sine function \( f(x) \) contributes sinusoidal oscillations.
- **General Shape:** Look at the dominant shape in which the wave oscillates.
Considering the sinusoidal nature of \( f(x) \) and how it transforms the base shape of \( g(x) \), select the appropriate function type (quadratic, linear, etc.) that best fits the observed pattern in the graph.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1dcaaceb-06a0-4874-9954-efdfb946b9a6%2F7949f44b-9fce-4fcb-b14e-40fccb086654%2Fdmupcsr_processed.png&w=3840&q=75)
Transcribed Image Text:### Analyzing a Composite Function
#### Look at the graph of a function below.
[Graph Description: The graph presented shows a wave-like function plotted on the Cartesian plane. There are distinct curves and dips indicating a sinusoidal component. The function appears to be a combination of a wave added to another function, shaping the overall appearance of the graph.]

#### Explanation:
The function graphed above is the result of adding two functions, \( f(x) \) and \( g(x) \).
The function \( f \) is a sine function, which is a type of periodic function that oscillates smoothly.
**Question:**
What type of function is \( g \)? Explain why you chose your function.
Below are the possible choices with explanations to identify the type of function for \( g \):
- **Option A:** \( g(x) \) is an **exponential** function because the shape of the graph appears to be a curve with a periodic sine function making the wave.
- **Option B:** \( g(x) \) is a **quadratic** function because the shape of the graph appears to be a parabola with a periodic sine function making the wave.
- **Option C:** \( g(x) \) is a **linear** function because the shape of the graph appears to be a straight line with a periodic sine function making the wave.
- **Option D:** \( g(x) \) is an **absolute value** function because the shape of the graph appears to be a V-shape with a periodic sine function making the wave.
#### Determining the Type of Function \( g \):
Examine the overall shape and components of the graph:
- **Wave Patterns:** The periodic sine function \( f(x) \) contributes sinusoidal oscillations.
- **General Shape:** Look at the dominant shape in which the wave oscillates.
Considering the sinusoidal nature of \( f(x) \) and how it transforms the base shape of \( g(x) \), select the appropriate function type (quadratic, linear, etc.) that best fits the observed pattern in the graph.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON

Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press

College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education