Extreme Thursday

Extremal points

Szélsőértékek

An extremal point can be a "peak point", called a maximum in Maths. A maximum is a point given with location (x=?) and value (y=?).
The "bottom point" or minimum means the the function takes a lowest value at a location.

High or low?

Any extremal point can be the lowest/highest
on the whole domain (global extremum) or on a subset of its domain (local minimum)

​Global or local?

Multiple Select

Find the locations of the global maximum value!

• X=-3

• x=-2

• x=-1

• x=1

• x=2

Hotspot

Indicate all local minima!

1 minimum, but 2 minima

Tricky latin plurals :)

(The end-points belong to the function!)

Hotspot

Indicate all global maxima!

1 maximum, but 2 maxima

Tricky latin plurals :)

(The end-points belong to the function!)

Hotspot

Which of the points indicated is not a extrema?

1 extremum, 2 extrema

Tricky latin plurals :)

(The end-points belong to the function!)

Fill in the Blank

What type of point is this?

-

Math Response

Read the rule of correspondence!

unnecessary unit (+1 or -1) are not required!

f(x)=?

Type answer here

Correct Answer: \left(x-1\right)^2-4

Deg^°

Rad

Math Response

Read the rule of correspondence!

unnecessary unit (+1 or -1) are not required!

f(x)=?

Type answer here

Correct Answer: -\left(x+2\right)^2+1

Deg^°

Rad

Math Response

Read the rule of correspondence!

unnecessary unit (+1 or -1) are not required!

f(x)=?

Type answer here

Correct Answer: \left(x-4\right)^2-2

Deg^°

Rad