Question

Use the graphs, if necessary, of the functions to the right. Find all values of x such that f(x)=-5The Value(s) of x such that f(x) = -5 is/are x=

Answer 1

By definition, a function is a relation in which each input value (x-value) has one and only one output value (y-value).

In this case, you need to find all input values for the following output value:

$​f\mleft(x\mright)=-5$

Knowing that the output values are the y-values, you can rewrite it as:

$y=-5$

Then, you can find the points with -5 as their y-coordinate. For the blue graph, you get:

For the red function, you can draw a horizontal line. See below:

Notice that the x-coordinate of the point whose y-coordinate is -5, is between -3 and -4, so you can set up that:

$x\approx-3.5$

Therefore, the answers are:

$-4,0,-3.5$