Question

The graph on the coordinate plane below represents the function
f
(
x
)
=
2
x
+
1
−
2
.

image.png

Based on this graph, use the dropdowns to answer each question.



What is the y-intercept? Select the correct option



What is the average rate of change over the interval
0
≤
x
≤
2
? Select the correct option



What value does the function approach as x approaches negative infinity? Select the correct option

Answer 1

Y-intercept: 0 (since f(0) = 2/(0+1) − 2 = 0)

Average rate of change on [0,2]: (f(2) − f(0))/(2 − 0) = (2/3 − 2 − 0)/2 = (−4/3)/2 = −2/3

Value as x → −∞: −2 (horizontal asymptote)