Algebra And Functions

Question 1

If you’re asked to create a quadratic formula with info you’re given, how do you do it?

Answer 1

Write the ax^2 + bx + c and cancel with certain info. You can find the max x as the midpoint between the two points.

Question 2

The possible effects for this quadratic model of a ball being thrown of wind or air resistance are two limitations of this model. Give some other limitations:

Answer 2

The ground is unlikely to be horizontal
The ball is not a particle so has dimensions/size
The ball is unlikely to travel in a vertical plane as it will spin
H is not likely to be a quadratic function in x.

Question 3

How do you find the range of a reciprocal function?

Answer 3

Coefficient of x on top divided by coefficient of x on bottom gives you something.

Question 4

Only what type of functions can have an inverse?

Answer 4

One-to-one

Question 5

How do you know when a binomial expansion with a negative power or decimal is valid?

Answer 5

When series converges, so |x|<1. Get the brackets in Standard from with a 1 inside then use the x value.