Algebra 2 Semester 1 Final Review

Front

Is (x-2) a factor of f(x)= x^3-8x^2+14x-4?

Back

Yes, (x-2) is a factor. The remainder is zero.

Front

What is (f + g)(x) if f(x) = 2x^2 and g(x) = 3x?

Back

(f + g)(x) = 5x^2 + 3x.

Front

What is the range of the function f(x) = x^2 - 4?

Back

The range is [-2, ∞).

Front

If f(x) = ∛(x), what is the equation after reflecting over the x-axis, compressing vertically by 1/4, and shifting left 9?

Back

The equation is -1/4 ∛(x + 9).

Front

What is the remainder when a^3 - 4 is divided by a + 2?

Back

The remainder is -12.

Front

What is the definition of a polynomial function?

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the difference between a factor and a root of a polynomial?

Back

A factor is a polynomial that divides another polynomial without a remainder, while a root is a value of x that makes the polynomial equal to zero.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a) for the equation ax^2 + bx + c = 0.

Front

What does it mean for a function to be even?

Back

A function is even if f(-x) = f(x) for all x in the domain.

Front

What does it mean for a function to be odd?

Back

A function is odd if f(-x) = -f(x) for all x in the domain.