Consider a linear function whose input X and output Y values are as follows
Answers
Answer:
Linear functions are algebraic equations whose graphs are straight lines with unique values for their slope and y-intercepts.
LEARNING OBJECTIVES
Describe the parts and characteristics of a linear function
KEY TAKEAWAYS
Key Points
A linear function is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.
A function is a relation with the property that each input is related to exactly one output.
A relation is a set of ordered pairs.
The graph of a linear function is a straight line, but a vertical line is not the graph of a function.
All linear functions are written as equations and are characterized by their slope and
y
-intercept.
Key Terms
relation: A collection of ordered pairs.
variable: A symbol that represents a quantity in a mathematical expression, as used in many sciences.
linear function: An algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.
function: A relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
Answer:
the linear function is y=3x+2
Step-by-step explanation:
according to the table,
if x = -1 then y = 3(-1)+2=-3+2=-1
if x= 0 then y= 3(0)+2=0+2=2
if x=1then y= 3(1)+2=3+2=5