Does absolute value have a minimum?

Does absolute value have a minimum?

HomeArticles, FAQDoes absolute value have a minimum?

forever more, there is no absolute minimum value. As we can see from the graph, there is no relative minimum, either. Note that all of the functions in the previous example bear the characteristic ‘∨’ shape as the graph of y = |x|. In fact, we could have graphed all of the functions g, h, and i in Example 2.2.

Q. Does an absolute value function have a vertex?

The highest or lowest point on the graph of an absolute value function is called the vertex. An axis of symmetry of the graph of a function is a vertical line that divides the graph into mirror images. An absolute value graph has one axis of symmetry that passes through the vertex.

Q. What is the vertex on the graph of the absolute value parent function?

The graph of the absolute value parent function is composed of two linear “pieces” joined together at a common vertex (the origin). y = | mx + b | + c where the vertex is (-b/m, c) and the axis of symmetry is x = -b/m. Note that the slope of the linear “pieces” are +1 on the right side and -1 on the left side.

Q. What if an absolute value has 0?

The absolute value of 0 is 0. (This is why we don’t say that the absolute value of a number is positive. Zero is neither negative nor positive.)

Q. Does the absolute value parent function have a minimum or maximum?

The Absolute Value Function: f(x)=|x| Similar to the quadratic, this parent function is symmetric in respect to the y-axis and has a minimum y-value. In general, absolute value functions are symmetric in respect to a line and have either a minimum or maximum value.

Q. What does sinful mean?

1 : tainted with, marked by, or full of sin : wicked. 2 : such as to make one feel guilty a sinful chocolate cake. Other Words from sinful Synonyms & Antonyms More Example Sentences Learn More about sinful.

Q. What do you call an innocent person?

1 sinless, virtuous; faultless, impeccable, spotless, immaculate. 6 simple, naive, unsophisticated, artless.

Q. What is innocent love called?

adj. 1 blameless, clear, faultless, guiltless, honest, in the clear, not guilty, uninvolved, unoffending. 2 chaste, immaculate, impeccable, incorrupt, pristine, pure, righteous, sinless, spotless, stainless, unblemished, unsullied, upright, virgin, virginal.

Q. What does pure love mean?

Pure love is a feeling deep within a person’s mind. Some might refer to these feelings as vibrations within the heart or soul. Pure love fosters compassion kindness and giving. In their purest form, these feelings of love are not conditional upon any desires for the self, including the desire to be loved in return.

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