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: 6154
- 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
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%? - A variable
A variable rectangle has a constant area of 35 cm². Find the lengths of the sides when the perimeter is minimum.
- A ration
108 kg of ration is sufficient for 18 students for 15 days. Find, for how many students will 70 kg of ration be sufficient for 25 days? - Michael 9
Michael purchased an old scooter for Rs 12000 and spent Rs 2840 on its overhauling. Then he sold it to his friend Rs 13860 . How much per cent did he gain or lose? - Cash discount
Marked price of a mobile phone Rs 6000. The shopkeeper offers a discount of 5% on cash payment . If the VAT is 8%, find the amount the customer has to pay in cash to purchase the mobile phone. - By selling
By selling an article for $ 21, a trader loses as much percent as the cost price of the article. Find the cost price. - Drying fruit
Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits?
- Children ratio
In a certain office 1/3 of the workers are women,1/2 of the women are married and 1/3 of the married women have children. If 3/4 of the men are married and 2/3 of the married men have children, what part of the workers is without children? - Scholarship 3
The ratio of number of boys to that of the girls in a school is 3:2. If 20% of boys and 25% of the girls are scholarship holders, find the percentage of those who are not scholarship holders? - The profit 5
A man buys 12 pens for 60 eur and sells them at 5 pens for 30 euros. What is his profit percentage? - Shares 1300 USD are divided among A, B, C and D in such a way that: share of (A/B)=(B/C)=(C/D) = (2/3)
- Spheres - ratios
The surface area of two spheres are in the ratio 1 : 4 . Find the ratio of their volumes.
- Antecedent and consequent
In a ratio which is equal to 5:8, if the antecedent is 40, then find the consequent. - Two class train
The ratio of first and second class train fares between two stations is 3:1 and that of the number of passengers travelling between these stations by first and second class is 1:50. If on a particular day USD 1325 be collected, then the amount collected f - Direct proportional If m is proportional to n and m=5 when n=4, then what is the value of m when n=18?
- The radius 3
The radius of a solid circular cylinder decreases by 20% and its height increases by 10% . Find the percentage change its : (a) volume (b) curved surface area. - Percent to number If 75% of a number is 225, what is the number?
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