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To compare two linear functions, you can analyze their slopes and y-intercepts, which are typically expressed in the form ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept. If the slopes are different, the function with the larger slope increases or decreases more steeply. If the slopes are the same, you can compare their y-intercepts to determine which function is higher or lower at specific points. Additionally, you can find their intersection point by setting the functions equal to each other, which reveals where they intersect on a graph.
What else can I help you with?
What are two linear functions?
y = 0 and y = 1 are two linear functions. They're not especially interesting ones.
What are the Conditions for parallelism and perpendicularity of linear functions?
Condition of Parallelism: The Slope of two (lines) linear functions must be equal. i.e. m1=m2 Condition of perpendicularity : The product of slope of two (lines) linear functions must be equal to - 1. i.e. m1.m2=-1
Can two different linear functions have the same y-intercept?
yes
How are linear equations and functions alike?
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
How are functions and linear equations similar?
Linear equations are a small minority of functions.
What are two linear functions?
y = 0 and y = 1 are two linear functions. They're not especially interesting ones.
Is the sum of two linear functions also a linear function?
Yes.
Is the sum of two linear functions always a linear function?
Yes. You would have to multiply to change it.
Are linear equations and functions different?
All linear equations are functions but not all functions are linear equations.
What are the Conditions for parallelism and perpendicularity of linear functions?
Condition of Parallelism: The Slope of two (lines) linear functions must be equal. i.e. m1=m2 Condition of perpendicularity : The product of slope of two (lines) linear functions must be equal to - 1. i.e. m1.m2=-1
Can two different linear functions have the same y-intercept?
yes
How are linear equations and functions alike?
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Are all linear equations functions Is there an instance when a linear equation is not a function?
Linear equations are always functions.
How are functions and linear equations similar?
Linear equations are a small minority of functions.
How are functions like linear equations?
Most functions are not like linear equations.
How many acre-as in a linear mile?
Acre is a unit of area (2-dimensional), a linear mile is 1-dimensional. You can not compare the two.
How are linear equations and functions alike and how are they different?
A linear equation is a special type of function. The majority of functions are not linear.
