Math 3 EOC Review

Front

What is the value of g(7) if g(x) is a function that outputs 17 when x=7?

Back

g(7) = 17

Front

Using a graph, how do you determine the value of f(-3)?

Back

f(-3) = -3, which is the y-coordinate of the point where x = -3 on the graph.

Front

How do you factor the polynomial x^3 - 12x^2 + 47x - 60 given that 5 is a root?

Back

The factored form is (x-3)(x-4)(x-5) = 0.

Front

What is the least degree of a polynomial that has a root at x=5 and is cubic?

Back

The least degree is 3.

Front

How do you find the arc length of a circle given a specific arc?

Back

The arc length can be calculated using the formula: Arc Length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Front

What is 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 does it mean for a number to be a root of a polynomial?

Back

A root of a polynomial is a value of x that makes the polynomial equal to zero.

Front

What is the difference between even and odd degree polynomials?

Back

Even degree polynomials have a U-shaped graph and can have a maximum of n real roots, while odd degree polynomials have an S-shaped graph and can have a minimum of 1 real root.

Front

How do you determine the maximum number of real roots a polynomial can have?

Back

The maximum number of real roots of a polynomial is equal to its degree.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial's graph.