UNIT 3 TEST - PART 2

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function f(x) = 0. It represents the x-intercept of the graph of the function.

Front

How do you find the zeros of a polynomial function?

Back

To find the zeros of a polynomial function, set the function equal to zero and solve for x. This may involve factoring, using the quadratic formula, or graphing.

Front

What is the significance of the x-intercept in a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating the value of x when y = 0.

Front

If a function has a zero at x = 3, what does this mean?

Back

It means that when x = 3, the output of the function is zero, or f(3) = 0.

Front

What does it mean if a function has no x-intercepts?

Back

If a function has no x-intercepts, it means that there are no real values of x for which the function equals zero.

Front

Find the zero(s) of the function: f(x) = x^2 - 9.

Back

x = {-3, 3}.

Front

Find the zero(s) of the function: f(x) = x^2 - 4x + 4.

Back

x = {2}.

Front

Find the zero(s) of the function: f(x) = x^2 + 1.

Back

It doesn't have any real zeros.

Front

Find the zero(s) of the function: f(x) = x^3 - 3x^2 + 2x.

Back

x = {0, 1, 2}.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the zeros of a quadratic equation ax² + bx + c = 0.