the magic conch shell
36.6
The argument of the cosine function must be (2pi/3)*x radians
To determine the value of a function when the input equals zero, you need to evaluate the function at that specific point by substituting zero into the function's equation. For example, if the function is defined as ( f(x) = 2x + 3 ), then ( f(0) = 2(0) + 3 = 3 ). The output will vary depending on the specific function being used.
The parent function for the equation ( y - 14x^3 ) is the cubic function ( y = x^3 ). In this case, the given equation represents a transformation of the parent function, where the term ( -14x^3 ) indicates a vertical stretch by a factor of 14 and a reflection across the x-axis. The transformation does not change the fundamental nature of the cubic function itself.
To find the zeros of the function ( f(x) = \sqrt{7x + 3} ), we set the function equal to zero: ( \sqrt{7x + 3} = 0 ). Squaring both sides gives ( 7x + 3 = 0 ). Solving for ( x ) results in ( x = -\frac{3}{7} ). Therefore, the zero of the function is ( x = -\frac{3}{7} ).
36.6
the output is divided by 3.
amplitude of the function y =-3 sin 3x
The argument of the cosine function must be (2pi/3)*x radians
3
The output is multiplied by 3.
To determine the value of a function when the input equals zero, you need to evaluate the function at that specific point by substituting zero into the function's equation. For example, if the function is defined as ( f(x) = 2x + 3 ), then ( f(0) = 2(0) + 3 = 3 ). The output will vary depending on the specific function being used.
3
To find the zeros of the function ( f(x) = \sqrt{7x + 3} ), we set the function equal to zero: ( \sqrt{7x + 3} = 0 ). Squaring both sides gives ( 7x + 3 = 0 ). Solving for ( x ) results in ( x = -\frac{3}{7} ). Therefore, the zero of the function is ( x = -\frac{3}{7} ).
2+3=
3
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