Spiral Review (S2, Week 6)

Front

What is a biased survey?

Back

A biased survey is one that does not accurately represent the population being studied, often due to excluding certain groups or not using random sampling.

Front

What is the composition of functions?

Back

The composition of functions involves applying one function to the result of another. If f(x) and g(x) are two functions, then the composition is denoted as f(g(x)).

Front

How do you find the zeros of a quadratic function?

Back

To find the zeros of a quadratic function, set the function equal to zero and solve for x. This can be done using factoring, completing the square, or the quadratic formula.

Front

What is the formula for revenue in terms of price and quantity sold?

Back

Revenue (R) is calculated as R = price (p) × quantity sold (q).

Front

What does it mean for a function to be equivalent?

Back

Two functions are equivalent if they produce the same output for every input in their domain.

Front

What is the significance of random sampling in surveys?

Back

Random sampling ensures that every individual in the population has an equal chance of being selected, which helps to reduce bias and improve the accuracy of survey results.

Front

How do you evaluate the composition of functions f(g(x))?

Back

To evaluate f(g(x)), first find g(x) and then substitute that result into f(x).

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is given by f(x) = a(x-h)² + k, where (h, k) is the vertex of the parabola.

Front

What is the relationship between price elasticity and revenue?

Back

Price elasticity measures how much the quantity demanded of a good responds to a change in price. If demand is elastic, increasing price may decrease total revenue, while if demand is inelastic, increasing price may increase total revenue.

Front

What is a function's domain?

Back

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