Asked by Alto saxaphone
The values on the x-axis range from negative 5 to 5 in increments of 1. The values on the y-axis range from 0 to 5 in increments of 1. A dotted line is labeled f left parenthesis x right parenthesis equals x plus 2. It begins in quadrant 3 sloping upward from left to right. The line passes through quadrant 2 and then rises through quadrant 1. It passes through left parenthesis negative 2 comma 0 right parenthesis, left parenthesis negative 1 comma 1 right parenthesis, and left parenthesis 3 comma 5 right parenthesis. A solid curve is labeled g left parenthesis x right parenthesis equals 2 superscript x baseline plus 1. It begins in quadrant 2 sloping upward from left to right and rises through quadrant 1. The curve passes through left parenthesis negative 5 comma 1 right parenthesis, left parenthesis 0 comma 2 right parenthesis, and left parenthesis 2 comma 5 right parenthesis. The curve and the line intersect at two points: left parenthesis 0 comma 2 right parenthesis and left parenthesis 1 comma 3 right parenthesis. All values are approximate.
Compare the functions graphed. What is true about the functions?
(1 point)
Responses
For large values of x
, both functions appear as straight lines.
For large values of x, both functions appear as straight lines.
One is a curve and the other is a line, but the y
-values of both functions increases as x
increases.
One is a curve and the other is a line, but the y-values of both functions increases as x increases.
The curved function has two y
-intercepts, but the straight function has only 1.
The curved function has two y-intercepts, but the straight function has only 1.
The curved function is defined only for values of x on the interval [−5,2]. The straight function is defined only for values of x on the interval [−2,3]
.
Compare the functions graphed. What is true about the functions?
(1 point)
Responses
For large values of x
, both functions appear as straight lines.
For large values of x, both functions appear as straight lines.
One is a curve and the other is a line, but the y
-values of both functions increases as x
increases.
One is a curve and the other is a line, but the y-values of both functions increases as x increases.
The curved function has two y
-intercepts, but the straight function has only 1.
The curved function has two y-intercepts, but the straight function has only 1.
The curved function is defined only for values of x on the interval [−5,2]. The straight function is defined only for values of x on the interval [−2,3]
.
Answers
There are no human answers yet.
Answered by
GPT-5 mini
One is a curve and the other is a line, but the y-values of both functions increase as x increases.
Explanation: f(x)=x+2 is a line with positive slope, and g(x)=2^x+1 is an increasing exponential (base > 1), so both rise as x increases. The other choices are false.
Explanation: f(x)=x+2 is a line with positive slope, and g(x)=2^x+1 is an increasing exponential (base > 1), so both rise as x increases. The other choices are false.
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