?????
What is the (x^3)^1/4 written in radical form?
x^ 3/4 = 4 root of (x^3)
Note: numerator = power, denominator = root
What is the remainder when x^2 + 8x - 7 is divided by x - 2?
13
The quadratic function f(x) has a turning point at (5, -8) . If g(x) = f(x + 7) - 3, then at which of the following does g(x) have a turning point?
(-2, -11)
Solve the equation. 27 = x^(3/2)
9
−2(−6x − 9) − 4(x + 9)
8x-18
What power function, ax^b, best describes the end behavior (also known as long-run behavior) of the polynomial y = -3x^4 + 5x^2 + 3x - 1?
-3x^4 - The end behavior of a polynomial functions is dictated by the highest powered term.
If f(x) is an odd, one-to-one function with f(5) = -2 then which point must lie on the graph of its inverse?
(2, -5)
What are the factors of the cubic polynomial shown here?
3x^3 + 5x^2 + 12x + 20
(3x + 5)(x^2 + 4)
Which of the following is the y-intercept of the piecewise defined function?
g(x) = 6x + 5; x < -2
(x - 3)^2 - 1; x >/+ -2
8
If the function y = 9 / 2x^3 was placed in the form y = ax^b, where a and b are real numbers, then which of the following is the value of a + b?
3/2
What is the equation of the inverse of the linear function y = 4x - 2 ?
y = 1/4 x + 1/2
What is the solution to the equation:
5x(x - 7)^2 (3x + 2) = 0
{ -2/3, 0, -7, 7)
What is the solution to square root(2x - 7) + x = 5?
2x - 7 = x^2 - 10x + 25
x^2 - 12x + 32 = 0
(x - 8)(x-4) = 0
x = {8, 4}
Only 4 works. 8 is extraneous.
What is the quotient and remainder when the rational equation f(x) = 4x^3 - 2x^2 + 8x + 10 is divided by x-5?
Is x - 5 a factor of f(x)?
Quotient w/ remainder: f(x) = 4x^2 + 18x + 98 + 500 / (x - 5)
Factor: No, The remainder is 500 and thus x - 5 is not a factor.
The graph of a function and the graph of its inverse always have symmetry across what line?
y = x
The height of an object in meters above the ground is given by the equation below, where t represents the time, in seconds. What is the height after 7 seconds to the nearest meter?
h(t) = -4.9t^2 + 84t + 5
353 meters
What is the solution to (x + 3)(x - 2) </= 0 represented on a number line?
solid circle on -3, shading to the left
solid circle on 2, shading to the right
A cubic polynomial below has zeroes at x = -4, X = -4, and x = 6 only and passes through the point (2, 36). Algebraically determine its equation in factored form.
y = -1/4 (x + 4)^2 (x - 6)
Which has the greater average rate of change over the interval -12 </= x </=8?
f(x) = 2x+ 7
g(x) = x/3 + 2 x < 1
4x - 2 x >/=1
The function f(x) has a greater rate of change.
f(x) = 2 > g(x) = 1.6
Solve the quadratic equation shown below.
3x^3 - 2x^2 - 75X + 50
(x - 5)(x + 5)(3x - 2)