Identify the type of function represented by each equation.

y= 3[x]

y= 3x^2

y=2.5x

y=-1.5

y= 4/x

are they

Greatest Integer, Joint ,Quadratic, Inverse Variation ,Constant, Direct Variation

please help

Verified Answer :

The correct match for the functions presented are:

y= 3[x] : Direct Variation 
y= 3x^2 : Quadratic
y=2.5x : Direct Variation 
y=-1.5 : Constant
y= 4/x : Inverse Variation

Answer:


Step-by-step explanation:

The first function:

\(y=3[x]\)

is the greatest integer function.

Greatest integer function is denoted by [ ].

The second function:

\(y=3x^2\)

is the quadratic function.

Quadratic function is of degree 2.

The third equation

\(y=2.5x\)

is the direct variation.

Because when y is increasing x is also increasing they have same behavior hence, direct variation.

The fourth function

\(y=-1.5\)

is constant.

The value is not changing hence, constant.

The fifth function:

\(y=\frac{4}{x}\)

is inverse variation since, y is increasing then x is decreasing they have opposite behavior.