Graphing Equations

Front

What is a complex fraction?

Back

A fraction where the numerator, the denominator, or both, contain a fraction.

Answer explanation

A complex fraction is defined as a fraction where the numerator, the denominator, or both contain a fraction. This distinguishes it from simpler fractions, making the first answer choice the correct one.

Front

What is the formula for conditional probability?

Back

P(A|B) = P(A and B) / P(B)

Answer explanation

The formula for conditional probability is P(A|B) = P(A and B) / P(B). This means the probability of event A occurring given that B has occurred is the probability of both A and B occurring divided by the probability of B.

Front

What is the limit of 1/x as x approaches infinity?

Back

0

Answer explanation

As x approaches infinity, the value of 1/x gets closer to 0. Therefore, the limit of 1/x as x approaches infinity is 0, making it the correct choice.

Front

Graphs of y = x^2 - 2x - 3 and y = -1/2x + 1: Graph A, Graph B, Graph C, Graph D

Back

Graph A

Answer explanation

Graph A correctly represents the intersection of the quadratic equation y = x^2 - 2x - 3 and the linear equation y = -1/2x + 1, showing their points of intersection and the overall shape of both functions.

Front

Which graph represents the equations y = cos x and y = sec x? Options: Graph A, Graph B, Graph C, Graph D

Back

Graph A

Answer explanation

Graph A correctly represents the equations y = cos x and y = sec x. The cosine function oscillates between -1 and 1, while the secant function has vertical asymptotes where cos x = 0, which is accurately depicted in Graph A.