Functions lesson 10 May

Describe the following function!

Its domain is ​ (a)   . Its range is ​ (b)   . In ​ (c)   x=4 it takes the value of ​ (d)   . In location x=-2 it takes the value of ​ (e)   .

• [-3;+3]
• [-1;+2]
• location
• “UNDEFINED”
• +1
• ]-3;+3[
• ]-1;+2[
• +2
• -1
• value

Answer explanation

The x-axis gives the "locations" of the function - making up its domain. The y-axis gives the "values" of the function - making up its range.

Describe the following function!

Its ​ (a)   ​-intercept is solely ​at -1. Its ​ (b)   -intercepts are for example​ at ​ (c)   and ​ (d)   . ​ (e)   is the total of intercepts!

• y
• x
• -3
• +1
• 5
• 4
• 3
• z
• x_1
• x_2

Answer explanation

The x-coordinate for a y-intercept is always x=0. Therfore y-intercepts require values (y=?)! The y-coordinate for a x-intercept is always y=0. Therfore x-intercepts require locations (x=?)!

Describe the following function!

This function is strictly monotonously ​ (a)   -creasing on interval ]+1;+2[. Meanwhile on [+2;+3] it is ​ (b)   ​ (c)   -creasing. On [-1,+1] the functions is ​ (d)   changing.

• in
• strictly monotonously
• de
• not monotonously
• monotonously
• immonotonously
• bitonously
• UNDEFINED

Which of the intervals is this function increasing?

• [-3;-2]

• [-2;-1]

• [-1;0]

• neither

Which of the intervals is this function decreasing?

• [+2;+3]

• [+1;+2]

• [0;+1]

• neither

Give the descending order of the functions (indicated 'a)', 'b)' and 'c)') according the value the take at location -1!

• function on graph c)

• function on graph b)

• function on graph a)

Pair the functions with values not part of their range! (There should be a pair left for each!)

• y=/=+3

• function on graph c)

• y=/=-2

• function on graph b)

• y=/=-3

• function on graph a)

Which of the functions (graphs are lettered d), e) and f)) has an x-intercept in location x=-2?

• function on graph d)

• function on graph e)

• function on graph f)

• none of them

Which of the functions (graphs are lettered d), e) and f)) has a y-intercept at +1?

• function on graph d)

• function on graph e)

• function on graph f)

• none of them

Read the rule of correspondence for function f(x)= a×(x+b)²+c

(Give the values of 'a', 'b' and 'c' separated by space with signum:

e.g. -1 +2 -3)