Functions - practice problems - page 2 of 295
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: 5892
- Charter flying service
Henry and Wayne operate a charter flying service out of Breckenridge, which has an elevation of 9,600 feet above sea level. Henry has two flights scheduled for the day. He is taking a couple from Breckenridge to Hamilton, which has a 35% elevation drop. A - The enrolment 2
The enrolment at a school has increased from 1400 learners to 1600 learners over 5 years. What is the percentage increase in enrolment? - Julia - recipe
Julia is using 60 g of butter in a recipe. She needs to use a butter-to-sugar ratio of 6:5. How much sugar should she use? - Petra 6
Petra sold an item for 4000 and made a 40% profit. What was the cost price of the product?
- Drunken drivers
40% of drivers driving between 11 pm and 5 am are drunken drivers. In a random sample of 20 drivers driving between 11 pm and 5 am, find the probability that: A) Exactly 12 will be drunken drivers B) At least 7 will be drunken drivers C) At most 5 will be - Gift baskets
Alessia and Alexia made some gift baskets to sell. 2/5 of them were Yu-Gi-oh themed, and the rest were Barbie-themed. They sold 3/4 of the yu-gi-oh-themed baskets and 7/12 of the Barbie-themed baskets. They remained with 56 gift baskets. How many gift bas - The restaurant
The restaurant is 3/8 miles from the office. She makes the walk in 7 1/2 minutes. At the same rate, how long will it take her to walk the two miles from her home to her office? - Five couples
In how many ways can 5 couples arrange themselves in a row if they stay together? - A cone 4
A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts.
- Gallons of gas
Sara drives 171 miles on 7.6 gallons of gas. She uses this information to calculate how many miles per gallon she can drive. Using this result, how many miles can Sara drive on 12.5 gallons of gas? - The ratio 19
The ratio of males to females in a school is 1:2. If there are 24 pupils, find the number of males. - Horseback riding
The total cost to go horseback riding is x dollars per hour plus a $2 fee for renting a helmet. Which expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each? Select all that apply. Responses: A = 4(3x+2) B = 3(4x+ - Unit price 3
A grocery store sells a bag of 6 oranges for $5.64. How much would it cost for 8 oranges? - BODMAS rules
To solve this problem using BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction), we need to arrange the numbers 50,5,1,10,1,10 in a way that results in 222.
- Miniature train
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes? - Temperature drop 5
The temperature outside currently is 32 degrees, dropping at an average rate of 4 degrees per hour. If the temperature continues to drop at this rate throughout the evening, what will the temperature be in 9 hours? - Fraction function
If Begin equation . . . y equals . . . begin fraction . . . x raised to the second power minus 3 times x plus 10 . . . over . . . x plus 4 . . . end fraction . . . end equation, find f(5). - Aling
Aling Rosa can sew 8 dresses in 12 days. How many dresses can she sew in 16 days? - Three in ratio 2
If 200 is divided into the ratio of 1:2:5, What is the middle quantity?
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