Calculus Chapter 1-3 Cumulative Review

Front

What is the result of f(n) - g(n) if f(n) = x² + 1 and g(n) = 2x - 5?

Back

x² - 2x + 6

Front

Convert log₂32 = 5 into exponential form.

Back

2⁵ = 32

Front

Identify the false statement: f(a) exists, the limit as x approaches a exists, f is continuous at a, None, all statements are true.

Back

f is continuous at a

Front

What is the derivative of the function f(x) = 7?

Back

0

Front

If p(x) = 3x + 4 and q(x) = 2x², what is p(q(x))?

Back

6x² + 4

Front

Define a function.

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the limit of a function?

Back

The limit of a function is the value that the function approaches as the input approaches a certain point.

Front

What does it mean for a function to be continuous at a point?

Back

A function is continuous at a point if the limit as x approaches that point equals the function's value at that point.

Front

What is the power rule for differentiation?

Back

If f(x) = x^n, then f'(x) = n*x^(n-1).

Front

What is the product rule for differentiation?

Back

If u(x) and v(x) are functions, then (uv)' = u'v + uv'.