Question: The family of curves represented by y = mx + c can be described as:
Options:
Quadratic functions
Linear functions
Cubic functions
Exponential functions
Correct Answer: Linear functions
Solution:
The equation y = mx + c describes linear functions for varying m and c.
The family of curves represented by y = mx + c can be described as:
Practice Questions
Q1
The family of curves represented by y = mx + c can be described as:
Quadratic functions
Linear functions
Cubic functions
Exponential functions
Questions & Step-by-Step Solutions
The family of curves represented by y = mx + c can be described as:
Step 1: Understand that 'y = mx + c' is the equation of a straight line.
Step 2: Identify 'm' as the slope of the line, which shows how steep the line is.
Step 3: Recognize that 'c' is the y-intercept, which is where the line crosses the y-axis.
Step 4: Realize that by changing the values of 'm' and 'c', you can create different lines.
Step 5: Conclude that the family of curves represented by this equation consists of all possible straight lines that can be formed by varying 'm' and 'c'.
Linear Functions – The equation y = mx + c represents a family of linear functions where m is the slope and c is the y-intercept.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
