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Is x2 plus 8 a function?
x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.
If f(x) x2 is vertically compressed by a factor of 8 to g(x) what is the equation of g(x)?
To vertically compress the function ( f(x) = x^2 ) by a factor of 8, you multiply the function by ( \frac{1}{8} ). Therefore, the equation of ( g(x) ) becomes ( g(x) = \frac{1}{8}x^2 ). This transformation reduces the output values of the original function by a factor of 8.
What equation represents a function?
A function tries to define these relationsips. It tries to give the relationship a mathematical form. An equation is a mathematical way of looking at the relationship between concepts or items. These concepts or items ar represented by what are called variables.
Is y equals 1X an exponential function?
No, the equation ( y = 1x ) is not an exponential function; it represents a linear function. In this equation, ( y ) is directly proportional to ( x ), resulting in a straight line when graphed. An exponential function typically has the form ( y = a \cdot b^x ), where ( b ) is a constant greater than zero and not equal to one.
Is y equals 102x exponential?
No, the equation y = 102x is not exponential. An exponential function is of the form y = a * b^x, where a and b are constants. In this case, the equation y = 102x is a linear function, as it represents a straight line with a slope of 102 and no exponential growth or decay.
What is the equation for the absolute value function stretched vertically by a value of 4 and reflected across the x axis?
Start with y = |x|, then y = 4|x|, and then y = -4|x|.
Write the function that is vertically stretched by a factor of 3 and translated 2 units left from its parent function?
y = 3*f(x + 2)
How is a function stretched or compressed?
A function is stretched vertically when its values are multiplied by a constant factor greater than 1, making it taller. It is compressed vertically when its values are multiplied by a constant factor between 0 and 1, making it shorter. Additionally, a function is stretched horizontally when the input values are divided by a constant factor greater than 1, making it narrower. It is compressed horizontally when the input values are divided by a constant factor between 0 and 1, making it wider.
Is x2 plus 8 a function?
x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.
Does the equation y equals 2x plus 1 represent a function?
The [ 2x + 1 ] represents a function of 'y' .
If you vertically compress the absolute value parent function f(x) x by a factor of 3 what is the equation of the new function?
f(x) = |f(x)|/3
How do you determine if a relation represents a function?
If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!
What are the uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
What are uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
If f(x) x2 is vertically compressed by a factor of 8 to g(x) what is the equation of g(x)?
To vertically compress the function ( f(x) = x^2 ) by a factor of 8, you multiply the function by ( \frac{1}{8} ). Therefore, the equation of ( g(x) ) becomes ( g(x) = \frac{1}{8}x^2 ). This transformation reduces the output values of the original function by a factor of 8.
What is the equation f?
The letter f represents function notation, and replaces y as a variable. f(x)=ax+b is a linear function.
If you vertically stretch the absolute value parent function f(x) x by a factor of 3 which of these is the equation of the new function?
It is f(x) = 3|x|.
