Second Semester Final Exam (2021-2022)

Function w gives the weight of a cat, in kilograms, when it is m months old.

Which statement represents the meaning of the equation w\left(7\right)=4 in this situation?

Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters.

Here is a graph that represents d.

Select all statements in function notation that represent the situation.

A ball bounces several times after it is dropped. The graph shows the height of the ball over time.

Height is measured in meters and time is measured in seconds.

Select all statements that are true about the graph and the situation it represents.

Function p represents the number of people in the library on a Monday as a function of hours since the library opened.

Here is the graph of function p.

Based on the graph and the situation, which domain and range make sense for function p?

Here is a pattern of squares. S represents the number of small squares in the pattern as a function of n, the step number.

Which expression could define S?

An orange is shot up into the air with a catapult. The function h given by h\left(t\right)=15+60t-16t^{2} models the orange’s height, in feet, t seconds after it was launched.

Select all the true statements about the situation.

Select all expressions that are equivalent to \left(2n+6\right)\left(n+3\right).

The function f is given by f\left(x\right)=x^{2}-2x.

Which statement is true about the graph of f?

Here is the graph of a quadratic function f.

Select all equations that could define the function f.

A quadratic function f is given by f\left(x\right)=ax^{2}+bx+c where a is not 0.

Select all the statements that must be true about the graph of f.

Select all equations that have two solutions.

Here is a graph of the equation

Which statement is true about the solutions to the equation

?

Select all expressions that could be equivalent to

where b is negative.