Basic Math question and answers for April 02, 2024
- Q For the 3-CNFf = (x' +y+z)& (x+y+z')&(x+y+z')& (x+y+z)&(x+y+z') &(x+y+z)- give 0-1 assignment to variables such that f=1- give 0-1 assignment to variables such that f=0-Draw the corresponding graph and mark...
- Q The function h is defined below.h(x)= x-x-30/x^2-11x+24Find all values of x that are NOT in the domain of h.If there is more than one value, separate them with commas.
- Q Suppose that the relation T is defined as follows.T= {(-5, -3), (-9, -6), (-5,5)}Give the domain and range of T.Write your answers using set notation.domainrange
- Q The function f is defined as follows.f(x) = -5x+2If the graph of fis translated vertically downward by 5 units, it becomes the graph of a function h.Find the expression for...
- Q The functions u and w are defined as follows.u(x) = -4x+1w (x) = 5x-4Find the value of w (u (-2)).w (u(-2)) =
- Q Which of the following is the range of the exponential function f(x) = a^x, a>0 and a ?1?Choose the correct answer below.(-?,?)(0,?)(-?,?)(-?,0)U(0,?)
- Q Given the function f(x)=-5-2/3x(a) Slope:(b) y-intercept:(c) Is this function increasing, decreasing or constant?(d) Solve the inequality: f(x)? -1Use interval notation. Use Int for positive infinity and in for negative infinity....
- Q Let f (x) = 4^-x-1. Find the domain and range of f (x).Domain: (-?, ?)Range: (-?, -1)Domain: (-?, ?)Range: (0, ?)O Domain: (-?, ?)Range: (-1, ?)Domain: (-?, ?)Range: (-?0,0)Domain: (-1,...
- Q 2. Make a table for r = 2 cos(30) with 0=15 +30k with k going from 0 to 11 along with = 90k with k going from 0 to 4...
- Q Find the domain and intercepts.f(x)=?x+1Find the domain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The domain of the function f(x)...
- Q A set of exam scores is normally distributed with a mean = 80 and standard deviation = 9.Use the Empirical Rule to complete the statements below.95% of the data values...
- Q The function y = sin x has been transformed. It now has amplitude of 7.8, a period of 22, a phase shift of 10 units to the right, a vertical...
- Q The parabola y = x is compressed vertically by a factor of 0.3, translated up 1 unit and to the right 3 units.Write the equation of the new parabola in...
- Q Determine the domain of the following function.f(x) =x+6/x-4
- Q Rewrite the equation of the circle (x-2)^2 + y^2 =3 in general form.x+y-4x+1=0x+y-4x+7=0x+y-2x+1=0x+y-2x+7=0
- Q I understand that I have to derive both sides however I don't understand how the integral on the right side of the equation turns into a negative (-xf(x))
- Q How is the graph of log (x + 3) - 4 translated from the graph of log x?shifted right 4 units and down 3 unitsshifted right 3 units and up...
- Q Is the function f(x) = 4x^4 - 5x + 12x even, odd, or neither. Explain your answer.
- Q How is the graph of y = 9(3)x+ + 6 translated from the graph of y = 9(3)x?6 units right and 2 units down2 units right and 6 units up6...
- Q Which of the following describes the graph of f-(x)?The graph of f-1(x) is the reflection of the graph of f(x) in the y-axis.The graph of f-(x) is the reflection of...
- Q 13. Graph the rational function y=x/2x+2.Which quadrant does neither branch of the rational function pass through?Quadrant 3Quadrant 1Quadrant 2Quadrant 4
- Q 8. Find the y-axis intercepts for the function f(x)=1/xdoes not exist(1,1)(0,0)(0, 1)
- Q 14. For the function f(x) = 4x-3, evaluate and simplify the expression: f(a+h)-f(a)/hf(a+h)-f(a)/h =4(a+h)-f(a)/h = 4a+4h+3f(a+h)-f(a)/h= 4a+4h-3f(a+h)-f(a)/h= 4h
- Q What is the multiple zero and multiplicity of f(x) = (x + 8)(x + 8)(x ? 3)(x + 8)?multiple zero = 3; multiplicity = -8multiple zero = 3; multiplicity =...
- Q 15. Evaluate the function f(x) = -x-1 and simplify at the indicated value: f(-a) = ?f(-a)=-af(-a)= a(a + 1)f(-a)= -a-af(-a)=-a-1
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