Parent Functions

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This is practice for Parent Functions

1 : Consider the following graph:

What is the best parent function for the graph?

$f(x)=x$ $f(x)=x^2$ $f(x)=x^3$ $f(x)=\sqrt {x}$ $f(x)=e^x$ $f(x)=\ln (x)$ $f(x)=|x|$

Recall that a key aspect of the various parent functions are the asymptotes. In particular, logarithmic functions have vertical asymptotes whereas exponential functions have vertical asymptotes. The rest of the functions lack asymptotes entirely.

2 : Consider the following graph:

What is the best parent function for the graph?

$f(x)=x$ $f(x)=x^2$ $f(x)=x^3$ $f(x)=\sqrt {x}$ $f(x)=e^x$ $f(x)=\ln (x)$ $f(x)=|x|$

3 : Consider the following graph:

What is the best parent function for the graph?

$f(x)=x$ $f(x)=x^2$ $f(x)=x^3$ $f(x)=\sqrt {x}$ $f(x)=e^x$ $f(x)=\ln (x)$ $f(x)=|x|$

4 : Consider the following graph:

What is the best parent function for the graph?

$f(x)=x$ $f(x)=x^2$ $f(x)=x^3$ $f(x)=\sqrt {x}$ $f(x)=e^x$ $f(x)=\ln (x)$ $f(x)=|x|$