Functions - practice problems - page 4 of 13
Number of problems found: 246
- Parabola with abs
A). Sketch the graph of the function f(x)=x * absolute(x) = x * |x| b). For what values of x is f(x) differentiable c). Find F(x) - Water 63
Boiler heated water at the rate of 6°c per minute for 14 minutes. It then cooled at the rate of 8°c per minute. What would be its temperature after 24 minutes if its original temperature was 40°c? - Which 12
Which table shows a proportional relationship between x and y? A) x 3 9 10 15 y 1 3 4 5 B) x 2 3 5 6 y 3 4 7 9 C) x 1 5 8 10 y 15 75 120 150 D) x 4 6 8 10 y 6 8 10 12 - A Ferris wheel
A Ferris wheel with a diameter of 100 feet makes five revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3 PM sharp. a) Write an equation in seconds to express your friend's height in feet at any given ti - Suppose 6
Suppose the life span of a revolutionary light bulb is normally distributed with a mean life span of 70 thousand hours and a standard deviation of 3 thousand hours. If a light bulb is chosen at random: a) what is the probability the life span will be with - Z score transformation
The annual salary of an entry-level statistics major (in thousands of dollars) is normally distributed with a mean of 75 and a standard deviation of 12. X ∼ N ( μ = 75, σ = 12 ). What minimum salary should a statistics major aim for to earn amongst the to - The temperature 32
The temperature in a place in Antarctica at noon is 5°Celsius, and every hour, it drops 4 °Celsius. Express this relationship using one equation and represent it graphically.
- Expression 71224
The operation ♤ is defined by the relation A ♤ B = AB - A - B. What is the value of the expression 5 ♤ (4 ♤ 3) equal to? - Describe 11
Describe and correct the error in finding the difference function of (f-g) (x) of f(x) =(x²+3x-1) and g(x) =(x²+x+2) (f-g) (x) =f(x)-g(x) =(x²+3x-1) - (x²+x+2) =x²+3x-1 -x²+x+2 =x²-x²+3x+x-1+2 =4x+1 - Function x*tanx
Functions: f(x)=xtanx f(x)=(e^x)/((e^x)+1) Find; i)vertical and horizontal asymptotes iii)the interval of decrease and increase iii)Local maxima and local minima iv)interval of concavity and inflection. And sketch the graph. - Second-year 69854
There are p first-year students in the school. There are 18% fewer sophomores than first-year students. There are 7 more third graders than sophomores and twice as many fourth graders as first- and second-year students combined. Express the number of pupi - Neziswa
Neziswa is conducting an experiment in which the temperature is measured carefully. The temperature was 76°C at the end of the first minute, and then it fell by 5°C every minute. Determine a formula to calculate the temperature (T) after m minutes. - Temperature linear fit
At 2:00 a.m., the temperature was -7°F. At noon the temperature was 18°F. What expression represents the increase in temperature? - Evaluate 21
Evaluate 6xy for x=5 and y=2. We are evaluating algebraic expressions and the addition and subtraction of polynomials. - Intersections 62534
The equation of the linear function is: y = -3x + 4 (a) determine the intersections with the axes sketch chart b) for which x applies f (x) = - 1 c) for which x applies f (x) = 0 d) for which y applies f (-1/2) = y
- Square root by hand
Estimate √38 to the nearest hundredths, using any of the two methods (divide and average method or square root estimate formula). - Science experiment During a Science experiment, a liquid was heated at the rate of 8 degrees Celsius per minute for 10 minutes. It was then allowed to lose heat at 6 degrees Celsius per minute. If the final temperature was 76 degrees Celsius, what was its temperature 16 min
- Graph move
When y=2x² has moved 2 units to the left and 3 units upward, what is the graph equation? - Jointly and cube power
If y varies jointly as x and the cube of z and y=16 when x=4 and z=2, find an equation representing this relationship. a. y=xz b. y = 2xz³ c.y = 2kx/z³ d.y = xz³/2 - Linear temp change The temperature in Inuvik, Northwest Territories, increased at the same rate from -22°C at 9:00 AM to -8°C at 4:00 PM one day. What was the temperature at 2:00 PM?
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