Functions - practice problems
In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. The set of inputs is commonly referred to as the domain, while the set of outputs is referred to as the range.A function is typically represented by an equation that describes the relationship between the input and output. For example, the equation y = 2x + 1 describes a linear function, where y is the output and x is the input. The input (x) can be any real number, and for each value of x, there is a corresponding output (y) given by the equation.
Functions can also be represented graphically, with the input values on the x-axis and the output values on the y-axis. A graph of a function is a set of ordered pairs (x, y) that satisfy the equation.
There are different types of functions, such as polynomial functions, exponential functions (y=e^x), and trigonometric functions (sin,cos,tan ...), each with their own unique properties and behaviors.
Number of problems found: 6206
- Rs 180
Rs 180 contained in a box of one rupee,50 Paise and 25 Paise coins in the ratio 2:3:4. What is the number of 50 Paise coins? (One rupee = 100 paisa) - Triple the sum
At what rate a sum triples in 5 years at simple interest? - Apples 32
A women sold half part of total apples to the 1st customer. Half part of the remaining to the 2nd customer. Then from rest of the apples she sold half part of it to the third customer and again sold half of the remaining apples to the forth customer. Now - Susan 5
Susan has a water tank in his back garden that can hold up to 750L in water. At the start of a rainy day (at 0:00) there is 165L in the tank, and after a heavy day’s rain (at 24:00) there is 201 L in the tank. Assuming that the rain fell consistently duri
- Somebody Somebody spend 5% of his wages on paying school fees. That is 800 shillings . How much does he earn?
- By selling 2
By selling 100 pens, a shopkeeper gains the selling price of 20 pens. Find his gain percent. - Percents and ratio
When 20% of a number is added to another number, the number increases by 50%. What is the ratio of the two numbers? - Inverse percentages
If a is 40 percent of b then, what percent is b of a? - Dual profit
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest 18%. He gains 14% on the whole. Find the quantity of 8% profit.
- An article 2
An article is bought for 124 USD. What should be the marked up selling price so that there is a profit of 10% even after allowing a discount of 12%? - Dilution
How many liters of water will have to be added to 1125 liters of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content? - Three inscribed objects
A circle is inscribed in a square. An equilateral triangle of side 4√3 is inscribed in that circle. Find the length of the diagonal of the square. - Price of rice
The price of rice is reduced by 5% . How many kilograms of rice can now be bought for the money which was sufficient to buy 50 kg of rice earlier? - Lightbulbs
The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 48 and a standard deviation of 10. Using the emp
- Bananas 5
A fruit vendor was able to sell 85% of his 80 kilograms of bananas. How many kilograms of bananas were sold? - Two trains 16
Two trains cross each other in 14 seconds when they are moving in opposite direction and when they are moving in the same direction they cross each other in 3 minutes 2 seconds . The speed of the faster train is by what percent more than the slower train? - Failed in examination
In an examination, 20% of total students failed in history,15% failed in English and 5% of total number of students failed in both subjects. Find the percentage of total number of students who passed in both the subjects. - Sharing money 2
Ann and Betty shared a sum of money in the ratio is 2:3 and Ann received $120. What is Betty share? - A man 23
A man has some money. He gives 50% of it to his wife and 40% of the remaining to his daughter. He gives the rest to his son. If the son receives 12000 euro, how much did his wife receive?
A furniture dealer bought a dining set at 12000 USD. At what price would the dealer sell this set by offering a discount of 5% and still make a profit of 10%?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
