PreCalc Exam Review with Trig

Front

Is (x-3) a factor of (x^3 - 3x^2 + 2x + 2)?

Back

No

Front

Find the x and y intercepts of the equation 4x - 5y = 40.

Back

x intercept is 10, y intercept is -8

Front

What is the domain of the graph?

Back

{-7, 5}

Front

If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?

Back

f(x - 3)

Front

Find the inverse of f(x) = -4x - 12.

Back

f^-1(x) = -1/4x - 3

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_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

How do you find the vertex of a parabola given in standard form y = ax^2 + bx + c?

Back

The vertex can be found using the formula x = -b/(2a) and then substituting x back into the equation to find y.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).

Front

What is the definition of an asymptote?

Back

An asymptote is a line that a graph approaches but never touches or crosses.