Match the following characteristics with there parent function(s)

Question

Functions:
Linear
Absolute value
Quadratic
Square Root
Cubic
Cube Root
Rational
Exponentional
Logarithmic
None
Characteristics:
Its graph passes through the origin
Its graph does not touch the x-axis
For all values of x in its domain y increases as x increases
Its graph never touches Quadrant II or IV
Bothe its domain and range consist of all real numbers
Its graph never touches the y-axis
Its graph is symmetric about the y-axis
Its range values are all non-negative
For all values of x, y values increase at a constant rate
Its graph is symmetric about the x-axis
Its domain values are all non-negative
Its graph is not countinuous
Its domain values and range values are non-negative
Its range values are negative when domain values are negative
Its domain and range values consist of all real numbers except zero
p.s. it can have more than one. And please put it in a table.

Answer 1

Here’s a table matching the characteristics with their corresponding parent functions:

| Characteristics | Parent Function(s) | |------------------------------------------------------------------------|------------------------------------------| | Its graph passes through the origin | Linear, Cubic, Square Root, Cube Root | | Its graph does not touch the x-axis | Absolute Value, Exponential, Logarithmic | | For all values of x in its domain y increases as x increases | Linear, Exponential | | Its graph never touches Quadrant II or IV | Absolute Value, Exponential | | Both its domain and range consist of all real numbers | Linear, Cubic, Quadratic, Rational, Square Root, Cube Root | | Its graph never touches the y-axis | Rational | | Its graph is symmetric about the y-axis | Quadratic | | Its range values are all non-negative | Absolute Value, Quadratic, Square Root | | For all values of x, y values increase at a constant rate | Linear | | Its graph is symmetric about the x-axis | None | | Its domain values are all non-negative | Absolute Value, Square Root | | Its graph is not continuous | Rational | | Its domain values and range values are non-negative | Absolute Value, Square Root | | Its range values are negative when domain values are negative | Cubic | | Its domain and range values consist of all real numbers except zero | Rational |

Note: Some characteristics may apply to more than one parent function, so multiple functions have been listed where applicable.