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What is the range of the function y equals -x2 plus 1?
y = -x2 + 1 This function describes a parabola that opens downward. To find the top of it's range, you need to find it's focal point. You can do that very easily by taking the derivative of the equation and solving it for 0: y = -x2 + 1 ∴ y' = -2x let y' = 0: 0 = -2x ∴ x = 0 Now you can calculate the y value at that point: y = -02 + 1 ∴ y = 1 So that function describes an upside down parabola whose peak is at the point {0, 1}. It's range then is: {y | y ∈ ℜ, y ≤ 1}
What is the domain range asymptote and intercept of the equation y equals 4 times 2 exponent x?
y = 4(2x) is an exponential function. Domain: (-∞, ∞) Range: (0, ∞) Horizontal asymptote: x-axis or y = 0 The graph cuts the y-axis at (0, 4)
How do you graph -3x-y equals 4?
Get in function form. - 3X - Y = 4 - 1(- Y = 3X + 4) Y = - 3X - 4 ----------------------------solve for X and Y by the 0 out method - 3X - 4 = 0 - 3X = 4 X = - 4/3 --------------- Y = - 3(0) - 4 Y = - 4 -------------- Draw a line linking those points.
Does the equation y equals 2x plus 1 represent a function?
The [ 2x + 1 ] represents a function of 'y' .
What is the period of y equals sin x?
The period is the length of x over which the equation repeats itself. In this case, y=sin x delivers y=0 at x=0 at a gradient of 1. y next equals 0 when x equals pi, but at this point the gradient is minus 1. y next equals 0 when x equals 2pi, and at this point the gradient is 1 again. Therefore the period of y=sinx is 2pi.
What is the rate of change of the function y equals 1?
0 because y=1 can be written as y = (0)x +1 and its gradient is 0.
What is the y-intercept of the graph of y equals 2.5x?
Y = 2.5X ( + 0 ) So, zero is the Y intercept of this function.
Is the equation y equals 0 a function?
Yes, none of the X values repeat, therefore it is a function. X=0 is not a function though.
How do you find the numbers x-intercepts of function y equals 5x'2?
5x²=0 X=0 the function y=5x² only intercepts x when x = 0
What are the solutions for x when y equals 0 in the quadratic function y equals x2 plus x?
y = x2 + x = 0 x (X + 1) = 0 x = 0 is one solution x = -1 is the other
What is the rule for the function x equals 0 1 2 3 4 y equals 8 6 4 2 0?
y = 8 - 2*x
In general the y-intercept of the function f x equals a bx is the point?
(0,a)
How do you solve y-2y'-3y equals 0?
For y - 2y - 3y equals 0, y equals 0.
Primitive recursive operation Exponential function in theory of computation?
equals(x,y)=1 if x=y =0 otherwise show that this function is primitive recursive
Is y equals 0 a function?
yes according to the vertical line test, it is a function because every x value has only one y output value.
If 3 plus y equals a 3-y equals a then a equals y equals?
a = 3 and y = 0
What is this type of function called y equals mx to the power of -b?
Assuming that b > 0, it is an inverse power function or an inverse exponential function.
