Functions - practice problems - page 2 of 13
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: 248
- Temperature dropping
If the temperature drops 2 degrees for 6 hours and the starting temperature is 10 degrees, what will the new temperature be? - The reciprocal 2
The reciprocal of 8 is subtracted from the reciprocal of 4, and the result is added to the reciprocal of 10. What fraction do you get? - Y-intercept 2
What is the y-intercept of 4x + 8y =16? Write coordinates of x0, y0 of that y-intercept. - Write 8
Write an expression for the total cost using the variable x. A bus company charges $35 to rent a bus for the day plus $4.50 for each student. - The temperature 46 The temperature in Mumbai at 5 AM is 25 degrees Celsius. It rises 3 degrees Celsius every hour for the next two hours and then 5 degrees Celsius per hour for the next 3 hours. What is the temperature after 5 hours?
- The temperature 45 The temperature in a field is 68°F at 4 PM. The temperature decreases by 4°F per hour. When will the temperature be 60°F?
- Dogde Caliber
The petrol kilometers M (unit: kilometers per liter) of the Dodge Caliber car is modeled by the function: M(s) = - 1/28s² + 3s- 31 What is the car's best petrol kilometers, and what speed is attained? - A function
A function follows the rule "y is 3 less than half of x". Express y as a function of x in the form of an equation. - A potato
A potato farmer incurred a total cost of $1600 and $2500 from producing 5 and 8 potato bags, respectively, in 2 separate weeks. Find the cost of x bags. - Temperature - linear function In the morning, at 08:00 hours, the temperature was -8°C, and in the afternoon, at 16:00 hours, the temperature was 24°C. Assuming that the temperature changes steadily, what was the temperature at 13:00 hours, and what was the time when the temperature w
- The temperature 39 The temperature outside is currently 10 degrees, dropping at an average rate of 2 degrees per hour. If the temperature continues to drop at this rate, what will the temperature be in 7 hours?
- Patsy
Patsy makes pillows. She needs 232 inches of trim for the edging. Trim costs $5.50 for a 3-yard spool or $1.10 per foot. What is the least amount Patsy can spend to get the trim she needs? Explain your reasoning. - The linear The linear equation 5y-3x-4=0 Can be written in the form y=mx+c. Find the values of m and c.
- A gym
The A gym offers two packages for yearly memberships. The first plan costs $50 to be a member. Then, when you visit the gum, it is $5 to get in. The second plan costs $200, but it only costs $2 to get in each time you visit. How many visits would it take - Altering sign sequence
Find the nth term of the sequence -1/2, 1/4, - 1/6, 1/8, - 1/10, .... - The temperature 38 The temperature has been dropping 2 degrees every hour, and the temperature at 10:00 AM was -15 degrees Fahrenheit. At what time was the temperature 0 degrees Fahrenheit?
- Slope of line What is the slope of the line that passes through the points: (-2, 4) and (-3, 1)?
- Motion with Decreasing Acceleration
The acceleration of a mass point during its rectilinear movement decreases uniformly from the initial value a0 = 10 m/s2 at time t0 = 0 to a zero value for a period of 20 s. What is the speed of the mass point at time t1 = 20 s, and what is the path of th - Function inverse square
The inverse function to the function f(x) = √(x-3) for x ≥ 3 is the function: - Point collinear coordinates
Given are points A [1;a2;a3], B [3;-4;-1], C [-3;-1;8]. Points A, B, and C lie in a straight line. Calculate the coordinates a2, a3
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