Math III EOC Review #2

Front

On which interval is the function f(x)=x^3-x^2 decreasing?

Back

The function f(x)=x^3-x^2 is decreasing on the interval 0 < x < 1.

Front

What is the equivalent expression for (2x + 4)/8?

Back

The equivalent expression is y = (8x - 4)/2.

Front

Factor the expression x^2 - 5x + 6.

Back

The factored form is (x - 2)(x - 3).

Front

What is the inverse of y = (2x + 4)/8?

Back

The inverse is y = (8x - 4)/2.

Front

What is the range of the function f(x) = -|x + 3| + 2?

Back

The range is y ≤ 2.

Front

Define a decreasing function.

Back

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

Front

What is the definition of a function's range?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function, such that if f(x) = y, then f^(-1)(y) = x.

Front

How do you find the range of a function?

Back

To find the range, determine the possible output values by analyzing the function's behavior and any restrictions on y.