91Ó°ÊÓ

A quotient of two polynomial expressions is called a _____ and is defined whenever the denominator is not equal to ____.

Identify the underlying basic function, and use transformations of the basic function to sketch the graph of the given function. $$f(x)=\sqrt{x-4}$$

Decide if each function is odd, ezen, or neither by using the appropriate definitions. $$\begin{array}{cccccc}x & -3 & -1 & 0 & 1 & 3 \\\f(x) & -5 & -7 & -10 & -7 & -5\end{array}$$

Identify the underlying basic function, and use transformations of the basic function to sketch the graph of the given function. $$f(x)=\sqrt{x+3}$$

Find the complex conjugate of each number. $$-5$$

Solve the radical equation to find all real solutions. Check your solutions. $$\sqrt{x^{2}+3}=\sqrt{28}$$

Decide if each function is odd, even, or neither by using the definitions. $$f(x)=\left(x^{2}+1\right)(x-1)$$

The height of a ball that is thrown directly upward from a point 200 feet above the ground with an initial velocity of 40 feet per second is given by \(h(t)=-16 t^{2}+40 t+200,\) where \(t\) is the amount of time elapsed since the ball was thrown; \(t\) is in seconds and \(h(t)\) is in feet. For what values of \(t\) will the height of the ball be below 100 feet?

Solve the radical equation to find all real solutions. Check your solutions. $$\sqrt[3]{x+3}=5$$

Use the verbal description to find an algebraic expression for the function. The graph of the function \(h(x)\) is formed by scaling the graph of \(g(x)=x^{2}\) horizontally by a factor of \(\frac{1}{2}\) and moving it down 4 units.