Algebra 2 CP Review

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you represent the number of legs of animals in a barn using equations?

Back

Let x = number of horses and y = number of chickens. The equations are: x + y = total number of animals and 4x + 2y = total number of legs.

Front

What is the end behavior of a polynomial function?

Back

The end behavior describes how the function behaves as x approaches positive or negative infinity. It is determined by the leading term of the polynomial.

Front

What does the leading coefficient of a polynomial indicate about its end behavior?

Back

If the leading coefficient is positive and the degree is even, the ends of the graph rise. If it is negative, the ends fall. If the degree is odd, one end rises and the other falls.

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches infinity or negative infinity.

Front

How do you find the horizontal asymptote of an exponential function?

Back

For the function f(x) = a(b^x), the horizontal asymptote is y = 0, as the function approaches zero for large negative x.

Front

What is the formula for the end behavior of f(x) = -7x^3 + 2x - 1?

Back

As x → ∞, f(x) → -∞ and as x → -∞, f(x) → ∞.

Front

What is the formula for the end behavior of f(x) = 3x^4 + 2x - 5?

Back

As x → ∞, f(x) → ∞ and as x → -∞, f(x) → ∞.

Front

What is the process for rationalizing the denominator?

Back

To rationalize the denominator, multiply the numerator and denominator by the conjugate of the denominator.

Front

What is the conjugate of a binomial expression?

Back

The conjugate of a binomial expression a + b is a - b. It is used to eliminate radicals in the denominator.