The parent function of given graph is a square root function
The correct answer is an option (c)
What is a function?
- "It defines a relation between input and output values."
- "In function, for each input there is exactly one output."
What is cube root?
"The function of the form [tex]f(x)=\sqrt[3]{x}[/tex] "
What is reciprocal function?
"This function obtained by finding the inverse of a given function."
What is square root function?
"The function of the form [tex]f(x)=\sqrt{x}[/tex] "
What is an absolute value function?
"The function of the form f(x) = |x| "
For given question,
We have been given the graph of a function.
We need to identify the parent function for the given the graph.
We can observe that the graph increases slowly.
The range of the function is set of all positive values.
We know that the range of square root function is always positive.
If we draw the graph for following functions
i) cube root function
ii) reciprocal function
iii) square root function
iv) absolute value function
Then the parent function of given graph is a square root function
Therefore, the correct answer is an option (c)
Learn more about the square-root function here:
https://brainly.com/question/14231651
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