Precalc Midterm Review #2

Front

As x → -∞, f(x) → ? As x → +∞, f(x) → ?

Back

As x → -∞, f(x) → -∞; As x → +∞, f(x) → -∞.

Front

What is an even function?

Back

A function f(x) is even if f(-x) = f(x) for all x in the domain.

Front

Back

Front

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

Back

The composition of functions f(g(x)) is found by substituting g(x) into f(x).

Front

Given f(x) = 3x + 10 and g(x) = x - 2, find (f∘g)(0).

Back

(f∘g)(0) = 4.

Front

Back

(f/g)(0) = 5.

Front

What is the end behavior of a polynomial function?

Back

The end behavior describes how the function behaves as x approaches ±∞.

Front

What is the difference between even and odd functions?

Back

Even functions are symmetric about the y-axis; odd functions are symmetric about the origin.

Front

How do you find the sum of two functions?

Back

To find the sum (f + g)(x), add the outputs of f and g for the same input x.

Front

What does it mean for a function to be neither even nor odd?

Back

A function is neither even nor odd if it does not satisfy the conditions for either.