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Neither statement is true. The graph of the absolute value of a function which is always non-negative will be the same as that of the original function and this need not open in any direction. Also, the graph of y = abs[x*(x-1)*(x+2)] is not symmetrical so there is no coefficient which will determine a line of symmetry.

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Which functions have graphs that are a symmetrical with respect to the origin?

The only shape that is symmetric about a point are a circle, sphere and their multi-dimensional counterparts. There are many more functions that are symmetric about the axes or specific lines.


What are characteristics of square root functions?

There are two square root functions from the non-negative real numbers to either the non-negative real numbers (Quadrant I) or to the non-positive real numbers (Quadrant IV). The two functions are symmetrical about the horizontal axis.


How do I determine if a function is a power function Power functions must be able to be written as such kxa. Would I compare the function to the format of a power function For ex KEv12kv5?

Identify the degree and leading coefficient of polynomial functions. ... the bird problem, we need to understand a specific type of function. A power ... A power function is a function that can be represented in the form ... Example 3.4.1: Identifying Power Functions ... Comparing Smooth and Continuous Graphs.


Do linear function have a defined slope?

Not all linear functions have defined slope. In two dimension it is definet but in three dimensions it cant be defined; For that direction ratios are defined in mathematics.


What is the end behavior of a function?

The end behavior of a function is how the function acts as it approaches infinity and negative infinity. All even functions such as x^2 approach infinity in the y-axis as x approaches infinity and odd functions such as x^3 approach positive infinity in the y- axis as x approaches positive infinity and negative infinity in the y- axis as x approaches negative infinity. If their is a negative leading coefficient then it is just flipped.

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What are characteristics of square root functions?

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