How to find the zeros of functions; tutorial with examples and detailed solutions. The zeros of a function f are found by solving the equation f(x) = 0.
Example 1: Find the zero of the linear function f is given by
Solution to Example 1
To find the zeros of function f, solve the equation
f(x) = -2x + 4 = 0
Hence the zero of f is give by
x = 2
To find the zeros of function f, solve the equation
f(x) = -2x + 4 = 0
Hence the zero of f is give by
x = 2
Example 2: Find the zeros of the quadratic function f is given by
Solution to Example 2
Solve f(x) = 0
f(x) = -2 x 2 - 5 x + 7 = 0
Factor the expression -2 x 2 - 6 x + 8
(-2x - 7)(x - 1) = 0
and solve for x
x = -7 / 2 and x = 1
The graph of function f is shown below. The zeros of a function are the x coordinates of the x intercepts of the graph of f.
Solve f(x) = 0
f(x) = -2 x 2 - 5 x + 7 = 0
Factor the expression -2 x 2 - 6 x + 8
(-2x - 7)(x - 1) = 0
and solve for x
x = -7 / 2 and x = 1
The graph of function f is shown below. The zeros of a function are the x coordinates of the x intercepts of the graph of f.
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