Algebra 2B: Review for Unit 5 Test

Which of the following graphs consists of repeating vertical S-shaped curves?

Which function has both an increasing and a decreasing interval?

Which parent function has positive and negative intervals and crosses through the origin?

Which statement accurately describes the selection of the best model for the data?

• a quadratic function, since it has constant 1st differences

• a linear function, since it has constant 1st differences

• a quadratic function, since it has constant 2nd differences

• a linear function, since it has constant 2nd differences

A strain of a virus is detected. For each person who is infected, the virus spreads 3 people Assuming no measures are taken to reduce the spread, which type of function would best model the number of people infected by the virus over time?

• a linear function

• a quadratic function

• a cubic function

• an exponential function

• The balloon starts at a height of 3 feet.

• The balloon reaches its maximum height after 8 minutes.

• The balloon ascends for 192 minutes.

• The balloon descends before it ascends.

Salman purchased a new laptop for $1,599.00. He expects that it will retain 90 percent of its value every year. He sketches a graph of the laptop’s value for the first five years after purchasing it. Which of the following is a key feature of the graph? Select two correct answers.

• The graph represents an increasing function.

• The graph represents a decreasing function.

A computer program ranks the probability of a student at a four-year high school graduating based on the grade that student is in. In this program, x is a student’s grade level. What domain is related to this scenario?

Estimate the average rate of change of the speed of the flag between 2 seconds and 3.5 seconds of it being raised.

• 10 feet/second

• 35 feet/second

• 1 foot/ 10 seconds

• 4 feet/ second

Sandy observes a beetle population in her laboratory. The following table tracks the number of beetles after x weeks. Determine the average rate of change in beetles over weeks three to five.

• 800 beetles per week

• 600 beetles per week

• 400 beetles per week

• 300 beetles per week