Reciprocal functions
Power functions
Quadratic functions
100

Find the range of 

f(x)=\frac{3}{x-5}-15

R=\mathbb{R}\setminus\{-15\}

100

For which value of 

 c\in\mathbb{R} is the graph of

 f(x)=-5x^5+c  symmetrical about the y-axis?

No value

100

Find the x-intercepts of 

f(x)=-4x^2+16

x_1=-2, x_2=2

200

State an equation for the vertical asymptote of 

f(x)=\frac{-5}{x+12}+14

x=-12

200

For which values for  a\in\mathbb{R} and  n\in\mathbb{N}\setminus{0} does 

 f(x)=a\cdotx^n -1 only have negative values?

n even and a<0

200

For what values of  b\in\mathbb{R} is the graph of the given function symmetrical about the y-axis? 

f(x)=-3x^2+bx-23

b=0

300

State an equation for the horizontal asymptote of 

f(x)=\frac{-4}{x^2}-2

y=-2

300

Let 

 f(x)=ax^4+c and 

 f(-6)=-3 . Find 

f(6)!

f(6)=-3

300

Find the global maximum point of f(x)=x^2-1 in 

 [-1;2] !

(2, 3)

400

State an equation for the vertical asymptote of 

f(x)=(3)/(x+4)^2+1

x=-4

400

If  f(x)=2x^2+c and  f(1)=4 , find the value of c!

c=2

400

Find the global minimum point of 

f(x)=(x-2)^2-5

(2,-5)

500

State the largest possible interval in which the given function is positive 

f(x)=(-4)/(x-5)^3

(-\infty;5)

500

If  f(x)=ax^3+c ,  f(0)=5 and  f(1)=4 , find a and c! 

a=-1, c=5

500

Find the global minimum point of 

f(x)=x^2+4x+5

(-2,1)

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