Algebra II Unit Quiz 2

Let 3 functions be defined as follows:

\(g(x)=x-3\)
\(h(x)=-2x+5\)
\(f(x)=(g(x))(h(x))\)

What is the maximum value of \(f(x)\)?

\(\frac{2}{i+3}+\frac{4}{3i-1}=\)

Which of the following represents a shift of the function \(f(x)\) 5 units to the right and 5 units down?

A farmer intends to modify a fenced-in enclosure. Currently, the enclosure is square, with each side \(x\) units in length. The farmer intends to make a new rectangular enclosure with a width 5 units shorter and a length 5 units longer than the original square dimensions. Which of the following represents the percent change in the area when the farmer changes the square field into a rectangular one?

Some values of the function \(f(x)=ax^3+bx^2+cx+d\) at various \(x\)-values are given in the table below:

Which of the following is a possible value of \(z\)?

If \(f(x)=x^2+6x+7\), which of the following \(x\)-values is a zero of \(f(x)\)?

Function \(f(x)=ax^2+bx+c\) has its vertex at \((2,-2)\). Which of the following changes will ensure that the function enters the first quadrant?

If \(n=a \cdot b \cdot c\), where \(a\), \(b\), and \(c\) are distinct prime numbers, which of the following CANNOT be the value of \(i^n\)?