# Zeros Function TI 89

TI 89 Calculus > How to use the Zeros Function TI-89

In calculus, you will be asked to find the zeros of a function — sometimes called the roots of a function. The zeros of a function are the point(s) where the input (x) produces a result (y) of zero. Use the Zeros Function TI-89 to find roots (or zeros) easily. The expression on the calculator is zeros(expression,var) where “expression” is your function and “var” is the variable you want to find zeros for (i.e. x or y variables).

The roots here are labeled x1 and x2. This particular parabolic function has two roots or zeros.

## Zeros function TI 89 Steps

Sample problem: Find the zeros of this function: f(x) = x2 – 10x + 16

Step 1:Press the F2 key from the HOME screen and then press the number 4 button. This combination of buttons selects the “zeros” command.

Step 2: Press the following keys to enter the function into the command line: x ^ 2 – 1 0 x + 1 6, x )

Step 3: Press the ENTER key.

The resulting zeroes for this rational function will appear as a notation: ( 2 , 8 ) This means that the zeroes of this function are at x = 2 and x = 8.

That’s it! You’re done!

Tip: If you are asked to use the zeros function on the TI 89 to find zeros for a certain interval, set the interval using the “with” operator (a vertical slash |), the inequality operator (press the green diamond and then 0) and the “and” operator (+). For example, if you wanted to find the zeros of the equation sin(2x) – 3cos(x) between the interval 0 and 2π, the input would be:
zeros(sin(2x)-3cos(x),x)|0≤ and x≤2π

Source: Prentice Hall.

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