What values of X are solutions?

Most algebraic equations are TRUE when certain values are substituted for the variable (such as x), and are FALSE for all other values. The values that make equations TRUE are called “solutions”.

Is positive for all real values of x?

Show that x2+2px+2p2 is positive for all real values of x. No matter the value of p, 4p2−8p2 will always be ≤0. Again, the p2 value on the right will always be positive. Therefore, no matter the value of p, the parabola will be positive for all values of y.

What does for all real values of X mean?

Basically just means for all numbers from minus infinity to infinity. We say real x to distinguish from complex numbers.

What are examples of positive values?

Positive Values (6 assets)

• Caring. Young person places high value on helping other people.
• Equality and Social Justice. Young person places high value on promoting equality and reducing hunger and poverty.
• Integrity. Young person acts on convictions ans stands up for his or her beliefs.
• Honesty.
• Responsibility.
• Restraint.

How do positive people behave?

Positive people usually live a great life because they not only respect others, but respect themselves as well. They show pride in themselves, which allows others to respect them as well. “Dress as if you feel special, and act that way. The more you respect yourself, the more others will respect you.

Is the value of f ( x ) positive or negative?

Direct link to doctorfoxphd’s post “No, the question is whether the `function` f (x) is…” No, the question is whether the function f (x) is positive or negative for this part of the video. That means, according to the vertical axis, or “y” axis, is the value of f (a) positive –is f (x) positive at the point a?

When is the value of a function positive?

At x equals a or at x equals b the value of our function is zero but it’s positive when x is between a and b, a and b or if x is greater than c. X is, we could write it there, c is less than x or we could write that x is greater than c. These are the intervals when our function is positive.

How to find the sum of all positive integral values?

As you noted, we must have x integer, hence the equation is n3 + n = a, n ∈ N and so the problem can be seen as to find 11 ∑ n = 1(n3 + n) since 113 + 11 = 1342, 123 + 12 = 1740. So 11 ∑ n = 1(n3 + n) = 11 ∑ n = 1n3 + 11 ∑ n = 1n = 4422.

Is the slope of a function positive or negative?

The function would be positive, but the function would be decreasing until it hits its vertex or minimum point if the parabola is upward facing. If the function is decreasing, it has a negative rate of growth. In other words, while the function is decreasing, its slope would be negative.