James K.

In Exercises 35-42, use a graphing utility to graph the quadratic function. Identify the vertex, axis of symmetry, and x-intercepts. Then check your results algebraically by writing the quadratic function in standard form.

$ f(x) = x^2 + 10x + 14 $

Finding an Inverse Function Informally In
Exercises $7-12$ , find the inverse function of $f$ informally.
Verify that $f\left(f^{-1}(x)\right)=x$ and $f^{-1}(f(x))=x$
$$f(x)=6 x$$

Finding an Inverse Function Informally In
Exercises $7-12$ , find the inverse function of $f$ informally.
Verify that $f\left(f^{-1}(x)\right)=x$ and $f^{-1}(f(x))=x$
$$f(x)=\frac{1}{3} x$$

Finding an Inverse Function Informally In
Exercises $7-12$ , find the inverse function of $f$ informally.
Verify that $f\left(f^{-1}(x)\right)=x$ and $f^{-1}(f(x))=x$
$$f(x)=3 x+1$$

Finding an Inverse Function Informally In
Exercises $7-12$ , find the inverse function of $f$ informally.
Verify that $f\left(f^{-1}(x)\right)=x$ and $f^{-1}(f(x))=x$
$$f(x)=\sqrt[3]{x}$$

Finding an Inverse Function Informally In
Exercises $7-12$ , find the inverse function of $f$ informally.
Verify that $f\left(f^{-1}(x)\right)=x$ and $f^{-1}(f(x))=x$
$$f(x)=x^{5}$$