Question

State whether the given equation or function is linear. Write yes or no. Explain your reasoning. f(x) = 7x2 + 4

Yes, the equation is linear. It is of the form f(x) = m + b
Yes, the equation is linear form. It is of the form f(x) = mx + b.
No, the equation is not linear. It is in the form x + y = c.
No, the equation is not linear. It is not of the form f(x) = mx + b.

Answer 1

Hey there!

Here goes your answer ↓

Question:- State whether the given equation or function is linear. Write yes or no. Explain your reasoning. f(x) = 7x² + 4

(a) Yes, the equation is linear. It is of the form f(x) = m + b

(b) Yes, the equation is linear form. It is of the form f(x) = mx + b.

(c) No, the equation is not linear. It is in the form x + y = c.

(d) No, the equation is not linear. It is not of the form f(x) = mx + b.

Answer :- Option (D)

Explanation :-

Given equation :- f(x) = 7x² + 4

•The form of any equation should be → y - mx + b

The given equation does not satisfy the above rule, and hence it is not a linear equation.

Hope it helps.

Have a great day ahead!

Answer 2

For this case we have the following function:

`f (x) = 7x ^ 2 + 4`

By definition, we have that a linear equation is of the form
`y = mx + b`

On the other hand, a quadratic equation is of the form
`y = ax ^ 2 + bx + c`

Then, the given equation is not a linear equation, it is not of the form
`y = mx + b`

Answer:

No, the equation is not linear. It is not of the form
`f (x) = mx + b.`