Find the inverse of the function. Is the inverse a function?

$f(x)=(x+3)^2+1$

Sketch a graph that is not a function. Explain how you know that it is not a function.

Define the inverse cotangent function by restricting the domain of the cotangent function to the interval (0, π), and sketch the graph of the inverse trigonometric function.

Consider the function $f(x)=x^2-2 x+2$

Determine the $y$-intercept of the function.

Which quadratic function has a lesser minimum: a function whose graph has a vertex at (-5,-1) or the function graphed below?

Prove that the Maclaurin series for the function comverges to the function for all x. \

$$f(x)=\cos x$$

Determine if each function is a quadratic function. $y=2^{x}+3 x+24$ _____.

Mark the following statements as true or false.

• To use a predefined function in a program, you need to know only the name of the function and how to use it.
• A value-returning function returns only one value.
• Parameters allow you to use different values each time the function is called.
• When a return statement executes in a user-defined function, the function immediately exits.
• A value-returning function returns only integer values.

For the function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function.

$f(x)=\frac{1}{(x+1)^2}$

Explain how to graph the derivative of a function given the graph of the function.

Is f(x)=sin$^{-1}$x an even or odd function? Is f'(x) an even or odd function?

Sketch a graph of a function. Explain how you know that it is a function.

On what interval is the function decreasing? On what intervals is the function increasing?

Find the inverse function f^{-1}(x) for the given function f(x) f(x) = 2x + 6