Functions - practice problems - page 3 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
- Award
Out of 36 students, 16 were awarded, 19 passed, 1 failed. Determines the percentage of honors and successful students in the class. - The sum 43
The sum of Rs. 820 will be divided among Ali, Fakhar, and Zahid according to the ratio 3 : 4 : 5. How much does each receive? - Arithmetic progressions.
Find the sum of all the numbers between 9 and 204, which is exactly divisible by 3. - China's
China's population in 2001 was 1276300000, and in 2005 it was 1307600000. Find the increase in population.
- Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ. - The graph
Given that (-5,8) is on the graph of f(x), find the corresponding point for the function f(x)-2. - Using 4
Using the law of cosines, find the measurement of leg b if the givens are B=20°, a=10, and c=15. - A metre
A metre of lace trim costs $2.90. If Erik buys 3.2 meters of trim, how much will he have to pay? - Bag of popcorn
The average cost of a bag of popcorn at the movie theater was $3.50 in 1995 and $4.75 in 2015. Find the percent of change in the price of a bag of popcorn from 1995 to 2015 and classify it as a percent increase or percent decrease.
- In 2010
In 2010, the population of the city was 223,000. From 2010 to 2015, the population grew by 6%. From 2015 to 2020, it fell by 4%. To the nearest 100 people, what was the population in 2020? - Value of the note
A 10-month promissory note issued on March 21, 2021, bearing interest of 7.2% p.a., has a maturity value of $4128.02. Find the face value of the note. - Cesar
Cesar increased the amount of water he drinks each day from 64 ounces to 72 ounces. By what percentage did Cesar increase the amount of water he drinks each day? - Gift card
Lauren was given a gift card for a coffee shop. Each morning, Lauren uses the card to buy one cup of coffee. The original amount of money on the gift card was $10, and each cup of coffee costs $2. Make a table of values and then write an equation for A, i - Cheesecakes
In a survey, 50% of people preferred fruit cake, 15% preferred sponge cake, and the remainder preferred cheesecake. What percentage of people liked cheesecake the best?
- The ratio 18
The ratio of dogs to cats at a shelter is 2 to 7. If there are 12 dogs, then how many cats are in the shelter? - The ratio 17
The ratio of tomatoes to red apples is 2:5. If there are 20 tomatoes, how many red apples are there? - It takes 2
It takes 7 1/5 seconds for a jet to fly 1 km. How long does it take for this jet to fly 3/4 of a km? - Children
Of the estimated 2 billion children living in the developing world, approximately 400 million do not have access to safe drinking water. Approximately what percentage of children in developing countries do not have safe water to drink? - Hotel rooms 2
Waterside bed and breakfast has 10 rooms. On average, they sell 8 rooms. The rate is $45 per night, bed and breakfast, $65 per night. Calculate the yield.
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