Problem library
/
Math III
/
M3-020-A12-V02
◇ Problem preview
F-BF.4.a
Warmup
M3-020-A12-V02
Find inverse functions for simple invertible functions, including rational examples.
Reflect inverse points and graph features across y=x
Problem
Reflect the square-root endpoint \((2,~-1)\) across \(y~=~x\). State the rule, give the inverse endpoint, and explain how the input and output roles exchange.
Answer choices
Choose your path.
⌁ Preview only
A
Rule: negate both coordinates across the origin. Original feature: square-root endpoint (2,−1). Inverse feature: endpoint (−2,1). The original endpoint input 2 becomes inverse input −2, and original output −1 becomes inverse output 1.
B
Rule: negate x across the y-axis. Original feature: square-root endpoint (2,−1). Inverse feature: endpoint (−2,−1). The original input changes sign while the original output remains an output.
C
Rule: swap coordinates across y=x. Original feature: square-root endpoint (2,−1). Inverse feature: vertical asymptote x=−1 rather than endpoint (−1,2). The domain and range features are not exchanged correctly.
D
Rule: swap coordinates across y=x. Original feature: square-root endpoint (2,−1). Inverse feature: endpoint (−1,2). The original endpoint input 2 becomes inverse output 2, and original output −1 becomes inverse input −1.
The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
Four variants of this problem type
1 2 3 4
Copy link
Print
Curriculum context
Standard F-BF.4.a
Category Functions
Domain Building Functions
Objective Find inverse functions for simple invertible functions, including rational examples.
Problem type Reflect inverse points and graph features across y=x
