Unit 1 - Limits and Derivatives Vocab

Shall we stand and fight?

• No, we should retreat instead.
• Let's negotiate for peace.
• We should run away and hide.
• Yes, we shall stand and fight.

What is the slope formula?

• m = (y1 + y2) / (x1 + x2)
• m = (x1 - x2) / (y1 - y2)
• m = (y2 + y1) / (x2 - x1)
• m = (y2 - y1) / (x2 - x1)

What a tangent line?

• A tangent line is a line that runs parallel to a curve at all points.
• A tangent line is a line that touches a curve at one point.
• A tangent line is a line that curves along with the shape of the curve.
• A tangent line is a line that intersects a curve at two points.

What is a secant line in terms of tangent lines in calculus?

• A secant line is a line that touches a curve at exactly one point.
• A secant line is the limit of a series of tangent lines as the points of intersection converge to a single point.
• A secant line is always parallel to the tangent line at a given point.
• A secant line is the derivative of a function at a specific point.

True or False: When trying to find the slope of a point on a graph, we can't choose the point twice to find its slope because than it would become undefined.

• False
• True

The fancy limit notation really is just saying a point is approaching another point by a slope

• Limit notation is used to find the area under a curve.
• Limit notation describes the behavior of a function as it approaches a point.
• Limit notation indicates the maximum value of a function.
• Limit notation only applies to linear functions.

• Standard form of a linear equation.
• Quadratic equation form.
• Point-slope form of a linear equation.
• Slope-intercept form of a linear equation.

Change in Position/Time

• Average Velocity

• Instantaneous Velocity

Velocity at a given point instant of time, represented by a slope

• Average Velocity

• Instantaneous Velocity

Change in Position/Time

• Average Velocity

• Instantaneous Velocity