Question

Consider the functions shown on the graph.

A coordinate grid with two lines. One line labeled f(x) and passes through (negative 3, 1), (0, 1), and point (1.5, 1). The second line is labeled g(x) and passes through point (0, negative 1), point (1.5, 1), and point (3, 3).

What is the best approximation for the input value when f(x)=g(x)?

0.0
0.5
1.5
3.0

Answer 1

c. 1.5

Explanation:

Answer 2

The best approximation for the input value when f(x) = g(x) is x = 1.5.

Explanation:

The function f(x) passes through the points (-3,1) and (0,1) and the point (1.5,1).

Therefore, the line has equation y = 1.

Now, the function g(x) passes through the points (0,-1), (1.5,1) and (3,3) points.

Therefore, the function g(x) crosses the line y = 1 at the point (1.5,1).

Hence, the best approximation for the input value when f(x) = g(x) is x = 1.5. (Answer)