Functions - practice problems - page 4 of 296
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: 5919
- 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. - Defect rate
A manufacturing machine has a 3% defect rate. If 9 items are chosen randomly, what is the probability that at least one will have a defect?
- The ratio 16
Express the following ratio in simplest form: 90:100 - A road
A road on a map measures 8cm long. The scale of the map is 25000. Calculate the actual length of the road - Usain
Usain and Kyle rented a house together for 3 years. Usain paid more rent because he had a bigger room. They always split the rent at a ratio of 4:3. They paid £30247 in rent over this period. How much of this did Usain pay? - The intensity
The light intensity on a screen is inversely proportional to the square of the distance between the screen and the light source. If a screen is illuminated by a light source 20 m away, the intensity is one-fifth of what is required. Where should the light - Express 72
Express the percentage to a fraction. 15%
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