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.
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} ).
When the function is changed to ( f(x - 3) ), it represents a horizontal shift of the parent function ( f(x) = x^3 ) to the right by 3 units. This means that each point on the graph of the cubic function will move 3 units to the right along the x-axis, while the shape of the graph remains unchanged.
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
2+3=
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} ).
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