Question

Two functions are defined as shown. f(x) = x – 2 g(x) = –1 Which graph shows the input value for which f(x) = g(x)?

Answer 1

here is your answer mark it as brave

Answer 2

Answer:

Second graph is the correct option.

Explanation:

We have been given that

$f(x)=-\frac{1}{2} x-2\\\\g(x)=-1$

The equation of f(x) represents a straight line with slope -1/2 and has y intercept of -2.

Also the x-intercept of the line is given by

$-\frac{1}{2} x-2=0\\\\x=-4$

Thus, the graph of f(x) passes through the points (-4,0) and (0,-2).

Now, the graph of g(x) represents a line which passes through (0,-1).

Now, we find the intersection point of f(x) and g(x)

$-\frac{1}{2} x-2= -1\\\\-\frac{1}{2} x= 1\\\\x=-2$

Thus, the intersection point is (-2,-1)

From the given graph, only second graph fulfills all the above mentioned criteria.

Hence, second graph is the correct option.