Ch. 2 Test Practice

Front

What is the end behavior of the polynomial function f(x) = -5x^4 - 2x^2 + 8?

Back

Left side: Falls, Right side: Falls.

Front

What are the possible rational zeros of the polynomial h(x) = x^3 - 5x^2 + 2x + 12?

Back

1, 2, 3, 4, 6, 12, -1, -2, -3, -4, -6, -12.

Front

How do you solve the inequality (x+3)(x+1)(x-1) ≥ 0?

Back

The solution in interval notation is [-3, -1] ∪ [1, ∞).

Front

What is the solution to the inequality \frac{x+2}{x-4} ≥ 3?

Back

The solution in interval notation is (4, 7].

Front

Which equation most likely matches the graph? y = x^4 - x^3 + 3x^2 + 2 or y = -x^4 + x^3 + 5x + 2?

Back

y = x^4 - x^3 + 3x^2 + 2.

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 degree of the polynomial function f(x) = -5x^4 - 2x^2 + 8?

Back

The degree is 4.

Front

What does it mean for a function to be increasing on an interval?

Back

A function is increasing on an interval if, for any two points x_1 and x_2 in the interval, if x_1 < x_2 then f(x_1) < f(x_2).

Front

What is the definition of rational zeros?

Back

Rational zeros are the possible values of x that make a polynomial function equal to zero, expressed as a fraction p/q where p is a factor of the constant term and q is a factor of the leading coefficient.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line, using parentheses and brackets to indicate whether endpoints are included or excluded.