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What else can I help you with?
Is the sum of two power functions always a power function?
No, the sum of two power functions is not always a power function. For example, if we take ( f(x) = x^2 ) and ( g(x) = x^3 ), their sum ( f(x) + g(x) = x^2 + x^3 ) is not a power function, as it cannot be expressed in the form ( x^k ) for a single exponent ( k ). In general, the sum of two power functions with different exponents yields a polynomial rather than a single power function.
Is the graph of two continuous function is always continue?
Well, it sounds like a plausible statement, and maybe it would be true . But we haveno idea what the graph of two functions is.Perhaps you could graph the sum of two functions, or the difference of two functions,or their product, or their quotient. We believe that if the original two functions areboth continuous, then their sum and difference would also be continuous, but theirproduct and their quotient might not necessarily be continuous. However, we stilldon't know what the "graph of two functions" is.
Is the sum of two odd numbers is always odd?
The sum of two odd numbers is always even.
Can sum of two vectors be numeric?
No, the sum of two vectors cannot be a scalar.
The sum of two integers is an integer?
Yes the sum of two integers will always be an integer.
Is the sum of two linear functions always a linear function?
Yes. You would have to multiply to change it.
Is the sum of two power functions always a power function?
No, the sum of two power functions is not always a power function. For example, if we take ( f(x) = x^2 ) and ( g(x) = x^3 ), their sum ( f(x) + g(x) = x^2 + x^3 ) is not a power function, as it cannot be expressed in the form ( x^k ) for a single exponent ( k ). In general, the sum of two power functions with different exponents yields a polynomial rather than a single power function.
Is the graph of two continuous function is always continue?
Well, it sounds like a plausible statement, and maybe it would be true . But we haveno idea what the graph of two functions is.Perhaps you could graph the sum of two functions, or the difference of two functions,or their product, or their quotient. We believe that if the original two functions areboth continuous, then their sum and difference would also be continuous, but theirproduct and their quotient might not necessarily be continuous. However, we stilldon't know what the "graph of two functions" is.
Is the sum of two odd numbers is always odd?
The sum of two odd numbers is always even.
Can sum of two vectors be numeric?
No, the sum of two vectors cannot be a scalar.
Is the sum of two consecutive numbers always divisible by 2?
No, the sum of two consecutive numbers is always an odd number, and is not divisible by two.
The sum of two quadratic functions will always be quadratic?
No. While the sum of two qudratics cannot have a power greater than two, it could have a power of 2, 1 or 0. x2 + 1 is one quadratic (2-x)(2+x) is another quadratic. Their sum is 1, a constant (power = 0).
The sum of two integers is an integer?
Yes the sum of two integers will always be an integer.
Is the sum of two rational numbers is it rational or irrational?
Such a sum is always rational.
Is the sum of integers always an integer?
Yes, by definition, the sum of two integers is always an integer. Likewise, the product and difference of two integers is always an integer.
The sum of two even numbers?
The sum of two even numbers is always an even number.
What is the sum of two odd numbers?
The sum of two odd numbers is always an even number
