Study guide for flashcard over cont. even/odd, rate of change quiz

Front

What is an odd function?

Back

A function that is symmetric with respect to the origin.

Front

Which of the following functions is odd? f(x) = x^2 + 1, f(x) = x^3 + x, f(x) = x^2 - x, f(x) = x^3 - x

Back

f(x) = x^3 + x

Front

What is the definition of an even function?

Back

A function that is symmetric with respect to the y-axis.

Front

Which of the following best describes the continuity at x = 2? Non removable Discontinuity, Removable Discontinuity, Continuous, Removable continuity

Back

Continuous

Front

What is the average rate of change over the interval [0,10]?

Back

0

Front

What is the formula for average rate of change?

Back

Average rate of change = \frac{f(b) - f(a)}{b - a}

Front

If d(t) = 0.8t^2, what is the distance traveled after 5 seconds?

Back

d(5) = 0.8(5^2) = 20 meters.

Front

If d(t) = 0.8t^2, what is the distance traveled after 10 seconds?

Back

d(10) = 0.8(10^2) = 80 meters.

Front

What is the average speed of the rock between 5 and 10 seconds?

Back

Average speed = \frac{d(10) - d(5)}{10 - 5} = \frac{80 - 20}{5} = 12 m/s.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.