Locate critical points using derivatives Question Given g(x) = 16x4 – 125x, find the critical numbers. Select the correct answer below: -20+y-1200 -20-V-1200 32 32 5 5 -20+V-1200 -20-V-1200 5 32 32 MORE INSTRUCTION SUBMIT
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- Let f(x) = 4x – 2 and g(x) = x² + 2x – 4. Evaluate the following. - a. f(2) = 6 b. f( – 4) = |-18 с. д(— 3) d. g(1) = |-1 = -1 - e. f(a + 2) = 4a+6 Preview f. g(a + 2) = 2a^2 PreviewA once-popular children's doll is slowly declining in popularity. The quartic function f(x) = - 0.025x +0.561x - 3.617x2 - 1.219x + 86.923, where x is the number of years since 1993, can be used to estimate the number of dolls of this type that were sold (in thousands) during a given year from 1993 to 2003, Estimate how many dolls were sold in 1998. ...... The number of dolls sold in 1998 was approximately (Round to the nearest thousand.) () More Clear All Skill Builder Check Answer Help Me Solve This View an Example Get More Help - 5:43 PM 4 40 9/12/2021 DELL home delete Insert prt sc FI0 end F12 F11 19 DII F7 FB F6 F5 F4 esc F3 F2 F1 & backspac %23 24 8 4. 1 2 R Y Q W tab KDifferentiate. f(x) = In (4x + 1)(x+7)³ (1 - 6x)5
- Suppose thatf(x) = (x+ 5)^3(x-2)^4. Find the x-coordinates of all points of inflection.The annual number of cars and trucks sold by a dealership can be modeled by the functions given below where x is the number of years since 2000. Fi Cars sold: c(x) =1.118x³ – 22.1492x +95.2693x +1210.7673 Trucks sold: t(x)=1.5964x³ - 36.4112x +200.5798x+476.9031 56. Write a function, T(x), that models the total annual number of cars and trucks sold. A) T(x)=2.7144x³ – 58.5604x² +295.8491x +1687.6704 6. B) T(x) =0.4784x³ –14.262x +105.3105x-733.8542 C) T(x) =2.7144x – 58.5604x² +105.3105x +733.7642 Cho D) T(x)=-0.4784x° +14.262x² – 105.3105x +733.8642 A) { 57. Write a function, D(x), that models how many more cars than trucks were sold annually. AB) A) D(x)=2.7144x³ +58.5604x +295.8491x +1687.6704 B) D(x) =0.4784x' -14.262x? +105.3105x -733.8642 C) D(x)=2.7144x³ – 58.5604x² +105.3105x+733.7642 Fi D) D(x)=-0.4784x³ +14.262x² – 105.3105x+733.8642 58. According to the model, how many cars and trucks were sold in 2009? (Round to nearest whole number.) 6. 59. According to the model, how many…Find the absolute maximum value and absolute minium value, if any, of the function f(x)=-x^2+4x+4 on [4,7]
- Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy = x³ + 2x² - 15x Oy=(-x² + 3x) (x + 5) Oy = (x+3)(x - 5) 2 3 Oy=(x-3)(x + 5) Oy=x³ + 2x² + 15xConsider f(x)=8x^2-32x+32. the x-intercept is (2,0) and the y intercept is (0,32). use these intercepts to write the function in factored form. use completing the square to write in standard form. list a sequence of transformations to get from the graph of y=x^2 to the graph of f, sketch the graph of y=f(x), where is the global max or min value of the function occur, and where is it, where is the function increasing and decreasing. what are the domain and range of the function, and givfe the equation of the parabolas axis of symmetry.Determine the equation of a quartic function that has zeros of -7,5, and 3 (order 2) and passes through the point (2,9).