Midterm Review Unit 3 Algebra 2

Front

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

Back

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

Front

What type of function is represented by the equation y = 2x + 3?

Back

Linear Equation.

Front

Graph the inequality y > |x|. What does the graph look like?

Back

The graph is the area above the V-shaped graph of y = |x|.

Front

Complete the end behavior: As x → -∞, f(x) → ____; As x → +∞, f(x) → ____

Back

As x → -∞, f(x) → -∞; As x → +∞, f(x) → -∞.

Front

Convert the standard form equation y = x^2 - 10x + 5 to vertex form.

Back

y = (x - 5)^2 - 20.

Front

What is the vertex of the parabola represented by the equation y = x^2 - 10x + 5?

Back

The vertex is (5, -20).

Front

Define 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) = -7x^3 + 2x - 1?

Back

The degree is 3.

Front

Explain the significance of the leading coefficient in a polynomial function.

Back

The leading coefficient determines the end behavior of the polynomial function.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2, then f(x1) < f(x2).