Question

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

Answer 1

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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.

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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 $f (x) = mx + b.$