PreCalculus Sem 1 Review

Front

What is the end behavior of a polynomial function with a negative leading coefficient?

Back

Both sides fall.

Front

How do you find the inverse of a function g(x) = (2 - 3x)/(5x)?

Back

To find the inverse, swap x and y, then solve for y: g^-1(x) = 2/(5x + 3).

Front

What is the domain of the function g(x) = (2 - 3x)/(5x)?

Back

x ≠ 0 (the function is undefined at x = 0).

Front

How do you completely factor the expression x³ + 64?

Back

x³ + 64 = (x + 4)(x² - 4x + 16).

Front

What is the composition of functions (f ∘ g)(x)?

Back

It means to apply g first, then apply f to the result.

Front

What is the end behavior of the polynomial f(x) = -4x² + 5x + 1?

Back

Both sides fall.

Front

How do you determine the domain of a rational function?

Back

Set the denominator not equal to zero and solve for x.

Front

What is the formula for finding the inverse of a function algebraically?

Back

1. Replace f(x) with y. 2. Swap x and y. 3. Solve for y.

Front

What is the significance of the leading coefficient in a polynomial function?

Back

It determines the end behavior of the polynomial.

Front

What is the result of (f ∘ g)(-5) if f(x) = -2x - 7 and g(x) = -4x + 3?

Back

(f ∘ g)(-5) = -53.