A2 Q2 Benchmark Review

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

If one side of a rectangle is 2 meters shorter than the other side and the area is 168 square meters, how do you express the dimensions algebraically?

Back

Let the longer side be x meters. Then the shorter side is (x - 2) meters. The area is given by x(x - 2) = 168.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

For the function that describes the time to make cakes, what is the domain if it takes 60 minutes to make each cake?

Back

The domain is {0, 1, 2, 3, 4, 5, 6}, representing the number of cakes that can be made.

Front

What is a vertical asymptote in a rational function?

Back

A vertical asymptote is a line x = a where the function approaches infinity or negative infinity as x approaches a.

Front

What does it mean if a rational function has a hole at a certain point?

Back

A hole occurs at a point where both the numerator and denominator of the function equal zero, indicating that the function is not defined at that point.

Front

How do you find the inverse of a function?

Back

To find the inverse, swap the x and y in the equation and solve for y.

Front

Back

Front

Back

The expression is undefined when the denominator equals zero, which occurs at x = -6 and x = -2.

Front

What is the quadratic formula?

Back