Alg 2. Chapter 2 Review

Front

Given f(x)=x^2+25 and g(x)=x-5, find (f+g)(x).

Back

(f+g)(x) = x^2 + x + 20.

Front

Name the x-intercept(s) in the graph.

Back

The x-intercept(s) are (-4, 0) and (2, 0).

Front

What is the definition of a function?

Back

A function has inputs and outputs, where every input has only ONE output.

Front

The blue function is the parent function f(x) = x^3. Which of the following is the correct equation for the red function, g(x)?

Back

g(x) = (x-1)^3.

Front

If f(x) = 2x + 1, find f(1).

Back

f(1) = 3.

Front

What is the vertex of the parabola represented by f(x) = x^2 + 25?

Back

The vertex is (0, 25).

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set f(x) = 0 and solve for x.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a degree of 1, while a quadratic function has a degree of 2.

Front

What is the formula for the sum of two functions f(x) and g(x)?

Back

(f+g)(x) = f(x) + g(x).