absolute value function
square root function
exponential function
logarithms
algebra
trigonometric identities
100

The zeroes of the function:

f(x)=-12abs(x-7)+24

what are the points (9, 0) and (5, 0)

100

The vertex of the following function: 

f(x)=-16sqrt(25x-75)+81

What is the point (3, 81)

100

The range of the function 

f(x)=120(0.95)^x-12800

What is the ]-12 800, +infinity[

100

The equivalent to 

logx^2y

What is 

2logx+logy

100

The simplication of 

sqrt(sqrt(x^16))

What is x4

100

The simplification of 

(tan^2(x)+1)/(1+cot^2(x)

What is 

tan^2(x)

200

The vertex of the function 

f(x)=-17abs(-5x-15)-32

What is the point (-3, -32)

200

The y-intercept of the  following function:

f(x)=-1sqrt(16x+64)+12

What is the point (0, 4)

200

The equation of the asymptote of the function:

f(x)=50(1/2)^(x-1)+48

 

What is 

y=48

200

The equivalent to 

log(x/y)^2

What is 

2(logx-logy)

200

The factorization of x3+3x2-4x-12

What is (x-2)(x+2)(x+3)

200

The simplification of 

sec(x)tan(x)cos(x)

What is 

tan(x)

300

The interval of increase of the function 

f(x)=5abs(12x-48)+3

What is the interval that starts at 3 and goes to infinity? 

300

The x-intercept of the function:


f(x)=30sqrt(7x-40)-90

What is the point (7, 0)

300

The y-intercept of the function: 

f(x)=32(4)^(x+1)-96

What is the point (0, 32)

300

The result of log9(1/81)


What is -2

300

The factors of 

x^4+x^3-x-1

What  are 

(x^3-1) and (x+1)

300

The simplification of 

((1-cos^2(x))/sin^2(x))

What is 1

400

The distance that separates the zeroes of the following function: 

f(x)=228abs((5x-10)/2)-114

What is 

2/5 units

400

The distance between the vertices of the following two functions: 

g(x)=125sqrt(225x+675)+42

f(x)=10sqrt(100x-900)+35

What is 

sqrt(193)

400

The equation of the exponential function associated to the following situation: "A population of 1600 increases by 18% every 6 months" if the time is represented as the number of years. 

What is 

f(x)=1600(1.18)^(2x)

400

The solutions to the following equation:

logx+log(x-3)=1

 

What is the x=5

400

The denominator of the rationalized version of 

(3-x)/(sqrt(4x)+6)

What is 

4(x)-36

400

The simplification of 

(cos^2(x)-1)/(sin^2(x)-1

What is 

tan^2(x)

500

The solution to the following equation: 

-37abs(x-8)+74=0

What is x=6 and x=10

500

The y-intercept of the composite function

f(g(x))

if 

g(x)=-2x+4


f(x)=-4sqrt(x+5)-9

What is the point (0, -21)

500

The population of a town of 850 increases by 7% every 2 years. 

The population of this town in 20 years...

What is 1672 people

500

The solution to log2(x-2)+log2(x+1)=2

What is x=3

500

The simplification of the following rational expression 

(4x^2-9)/(2x^2-7x-15)

What is 

(2x-3)/(x-5)

500

The simplification of 

(1-tan^2x)/(1+tan^2x)+1

What is 

2cos^2(x)