quiz 2

Question 1

avg velocity equation

Answer 1

avg velocity = change in position / time elapsed

f(b) - f(a) / b -a

Question 2

how do you find the slope of the secant line given a point on the curve?

Answer 2

1. find values of x that are close to x value from both left and right side
2. plug into calc using alpha trace enter

(Y1 (close x- value) - Y1 (given x value) / (close x value - given x value)

3. find the value of the slope of the tangent line to curve (its the x value that the points are approaching
4. using the slope, create an equation using point slope form

Question 3

tangent line vs secant line

Answer 3

tangent line hits the curve only once, whereas secant line hits the curve twice

Question 4

distance formula

Answer 4

distance = rate x time

Question 5

find “instantaneous velocity” vs. “avg velocity”

Answer 5

instantaneous velocity -> slope of the tangent line

avg. velocity -> slope of the secant line

Question 6

Horizontal Line Test

Answer 6

If graph passes horizontal line test, that means it’s a one to one function, and therefore has an inverse function

Question 7

Exponential function growth and decay

Answer 7

f (x) = b ^ x

• when b > 1, graph shows increasing function called exponential growth curve
• when b < 1, graph shows decreasing function called exponential decay curve

Question 8

the sine function

Answer 8

goes in increments of 0, π/2, 3π/2, and 2π, up and down to 1 and -1

middle, high, middle, low, middle

Question 9

Cosine graph

Answer 9

goes in increments of 0, π/2, 3π/2, and 2π, up and down to 1 and -1

starts high, middle, low, middle, high