Respuesta :

alinakincsem

Answer:

f (x) = (x+5) is linear

Step-by-step explanation:

We are given the following function and we are to determine if it is a linear function or not:

[tex] f ( x ) = ( x + 5 ) [/tex]

For a function to be linear, it must be written in the standard form [tex]y=mx+c[/tex] and its graph gives a straight line.

Whereas, when an equation is squared, its graph becomes a curved one which is not linear.

Therefore, the given function f (x) = (x+5) is linear.

luisejr77

Answer: No, it is not a linear function. It is a Quadratic function.

Step-by-step explanation:

Given the following function:

 [tex]f(x)=x(x+5)[/tex]

You need to apply Distributive property:

[tex]f(x)=(x)(x)+(x)(5)[/tex]

[tex]f(x)=x^2+5x[/tex]

You can observe that the highest exponent of the function is "2", therefore, it is not a Linear function, but a Quadratic function in the form:

[tex]f(x) = ax^2 + bx + c[/tex]

Where a, b, and c are numbers ([tex]a\neq 0[/tex])

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