Unit 1 Part 2 Rational Functions Test Review

Select the proper g(x) equation that models the following transformations from f(x): a horizontal dilation by a factor of 3, a horizontal translation left by 2 units, and a vertical translation up by 6 units.

• g(x)=f(3(x+2))+6

• g(x)=f(3(x-2))+6

• g(x)=f(¹/₃(x+2))+6

• g(x)=f(¹/₃(x-2))+6

• -1

• 1

• -7

• -3

• 3

The scatterplot shows the change in number of fish in a pond from the previous week.  The point (3,9) means that for on day 3, the number of fish will be 9 more than the number of fish on day 2. Which of the following statements best describes and supports the section selections of a model for the function?

• Because the information about rate of change is positive and negative, a piecewise-linear model is best.

• ​Because the information about rate of change is positive and negative, a quadratic model is best.

•  Because the information about rate of change is roughly linear, a quadratic model is best.

• Because the information about rate of change is roughly linear, a linear model is best.

If (3, -1) is on the graph of y = f(x), which of the following coordinates will be on the graph of

y = 2f(x-1)+4.

• (8, 3)
• (2,, 6)
• (7, 3)
• (4, 2)

The function f is given by f(x)=3x²+x-7.  Describe the behavior of f(x) as x increases without bound using limit notation.

We know the leading coefficient of this graph is ​ ________ and the degree is ________.

• positive, odd

• negative, odd

• positive, even

• negative, even

Which of the following could be a possible equation of the graph?

f(x)= _______________________

Match the following characteristics of rational functions to the method used to find them

• as x goes to ±∞, y goes to horz. aysmp.

• horizonal asymptote

• compare degrees of num. & denom.

• left and right end behavior

• factor left in the numerator

• vertical asymptote

• factor left in the denominator

• hole

• factor cancels out of both num. & denom.

• zero