Precalculus I Exam Review

Front

What are the zeros of the function f(x)=(x+4)(x-3)(x-2)?

Back

The zeros are x = -4, x = 3, x = 2.

Front

How do you find the domain of the function f(x)=\sqrt{x-3}?

Back

The domain is x \ge 3.

Front

What is the domain of the function f(x) = \frac{1}{x-2}?

Back

The domain is all real numbers except x = 2.

Front

How do you find the x-intercept of the equation 4x - 10y = 20?

Back

Set y = 0 and solve for x: x = 5.

Front

How do you find the y-intercept of the equation 4x - 10y = 20?

Back

Set x = 0 and solve for y: y = -2.

Front

What is the inverse of the function f(x) = 2x + 3?

Back

The inverse is f^{-1}(x) = \frac{x-3}{2}.

Front

What is the quadratic formula used for?

Back

It is used to find the solutions (roots) of a quadratic equation ax^2 + bx + c = 0.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is f(x) = a(x-h)^2 + k, where (h,k) is the vertex.

Front

How do you determine if a function is even, odd, or neither?

Back

A function is even if f(-x) = f(x), odd if f(-x) = -f(x), and neither if neither condition holds.

Front

What is the difference between a function and a relation?

Back

A function is a relation where each input has exactly one output.