Question

Use the graph of f(x) to find the solutions to the equation f(x) = 0.

Answer 1

the zeros would be -10 and 2. zeros are the numbers that touch the x-axis

Answer 2

The solutions to the equation f(x) = 0 of the provided graph of parabola f(x) has two solutions: x=-10,2.

What is graphical interpretations of f(x)?

The graph of a function (say f) is a pictorial representation of all its pairs (inputs, outputs). Let the y-value of a point $(x,f(x))$ is the function f(x). Thus,

• At $f(x) > 0$, this point $(x,f(x))$ lies above the x-axis.
• At $f(x) =0$, this point $(x,f(x))$ lies on the x-axis.
• At $f(x) < 0$, this point $(x,f(x))$ lies below the x-axis.

The graph of f(x) is given to find the solutions to the equation f(x) = 0. For  f(x) =0, the solution point lies on the x-axis.

The intersection point of x-axis in the given graph are at point -10 and at point 2. Thus, the function has two solution,

$x=-10\\x=2$

Hence, the solutions to the equation f(x) = 0 of the provided graph of parabola f(x) has two solutions: x=-10,2.

Learn more about the graphical interpretations here;

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