MP4 Algebra 2 Final Review

A scientist tested a group of adults aged 35 to 90. The graph shows the quadratic function S, which models their scores on a language test as a function of their age x, in years. Which of the following could define S?

Answer explanation

Graph each of the answer choices and find the one that matches!

• 0.479

• 1.479

• 1.764

• 0.441

Answer explanation

Apply a log to BOTH sides of the equation, and then solve for the variable x!

• 3

• 1

• 0

• 2

Answer explanation

It looks scary but it's not! Apply the log to both sides and then begin solving for the variable! The log in the exponent turns into a regular number.

The y-values of a data set increase and then decrease as the x-value increase. Which of the following models is most likely to fit the data?

Answer explanation

Draw a picture of what the problem is describing, y-value goes up and then down (as if following a curve...) then plug in your equations into a calculator graph and find the matc!

There were no mice in Australia before 1788 when 20 mice were introduced. By 1920 the population of mice had reached 10 billion. If the population had grown exponentially, this would correspond to a 18.4% increase, on average, in the population each year. Which of the following functions best models the population p(t) of mice t years after 1788?

Which kind of function best models the set of data points (-2,20), (-1,5), (-2,3), (0,10), (1, 25)?

• quadratic

• linear

• exponential

• none of the above

Answer explanation

Type your data into a table like we did with regression, and plot the points on a scatter plot and determine which shape(graph) fits the data best!

• (-3,0)

• (0,-3)

• (5,0)

• (-5,0)

Answer explanation

Quick tip for finding roots of a polynomial: Plug the function into a graph and find the x intercepts! Those are your roots!