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Is the product of two linear functions always a quadratic function?
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Is the quadratic equation always a function?
Yes it is.
Is a graph of a quadratic function always a parabola?
No. It can also be a circle, ellipse or hyperbola.
Once you have reduced a polynomial to a cubic function you can always use the quadratic formula to finish the problem?
false
Once you have reduced a polynomial to a quartic function you can always use the quadratic formula to finish the problem?
false
What is the difference between a function and expression?
Functions and Expressions are representations of relationships that exist among entities, however a function always returns a value (or result)
Is the quadratic equation always a function?
Yes it is.
Once you have reduced a polynomial to a quadratic function you can always use the quadratic formula to finish the problem?
True
What is the relation quadratic equation to linear equation?
The derivative of a quadratic function is always linear (e.g. the rate of change of a quadratic increases or decreases linearly).
Is a function is always a relation?
Yes. Functions are always relations, but relations are not always functions.
Is a graph of a quadratic function always a parabola?
No. It can also be a circle, ellipse or hyperbola.
What is the difference between quadratic function and quadratic formula?
A quadratic function is a function where a variable is raised to the second degree (2). Examples would be x2, or for more complexity, 2x2+4x+16. The quadratic formula is a way of finding the roots of a quadratic function, or where the parabola crosses the x-axis. There are many ways of finding roots, but the quadratic formula will always work for any quadratic function. In the form ax2+bx+c, the Quadratic Formula looks like this: x=-b±√b2-4ac _________ 2a The plus-minus means that there can 2 solutions.
Once you have reduced a polynomial to a quartic function you can always use the quadratic formula to finish the problem?
false
Once you have reduced a polynomial to a cubic function you can always use the quadratic formula to finish the problem?
false
Is inverse of a function always positive?
No.Some functions have no inverse.
Are all linear equations functions Is there an instance when a linear equation is not a function?
Linear equations are always functions.
What different information do you get from vertex form and quadratic equation in standard form?
The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.
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).
