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To evaluate a function means to replace the variable with some value, and calculate the value of the function. For example, in the parabola y = x2 (or, using functional notation, f(x) = x2), if you replace x with 10, and calculate x2, you are evaluating the function for that specific value.
If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value
f(x) = x2 + 3 ----> f(5) = (5)2 + 3 ----> f(5) = 28
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The rule of a function in math is what relates the input value to the output value. For example, if f(x) = x2, the "function rule" is to square the input value to get the output value.
A zero of a function is the value of the independent variable which makes the value of the function equal to zero. Sometimes called a root of the function, as well.Example: f(x) = x - 3. The value of x, which makes f(x) = 0 is x = 3, so the zero of the function is x=3.For f(x) = x2 - 9: The values, {x=3 and x=-3} both are zeros of this function.To make it more simple, when looking at a graph, the zero is where your function crosses or touches the x-axis. These are REAL zeros. Sometimes, however, the zero might be an imaginary number. You cannot see it on the graph. So you have to work out the problem to determine ALL POSSIBLE zeros.A zero of a function is the value of the independent variable which makes the value of the function equal to zero. Sometimes called a root of the function, as well.Example: f(x) = x - 3. The value of x, which makes f(x) = 0 is x = 3, so the zero of the function is x=3.For f(x) = x2 - 9: The values, {x=3 and x=-3} both are zeros of this function.
No, because there is more than one solution: y2 = x2 y = ±(x2)1/2 y = ±x Because there are multiple solutions for a single value of x, this does not qualify as a function.
You cannot. The function f(x) = x2 + 1 has no real zeros. But it does have a minimum.
y=x2+3 x1=1 x2=2 y(x1) = 1*1+3 = 4 y(x2) = 2*2+3 = 7 x2/x1 = 2, While y2/y1 = 7/4 !=2, and thus the function is nonlinear.
It means that the value of the function at any point "x" is the same as the value of the function at the negative of "x". The graph of the function is thus symmetrical around the y-axis. Examples of such functions are the absolute value, the cosine function, and the function defined by y = x2.
No. If you invert that function, it will produce an equation that gives you two return values for one input value. This does not meet the definition of a function.
The value of x2+7x+10 depends on the value of X. If x=1, then x2+7x+10 = 18 If x=2, then x2+7x+10 = 28 If x=3, then x2+7x+10 = 40 and so forth