lesson pretestMultiple Choice

Pretest

Question 5 • Algebra 1

Which is the graph of g of x is equal to 2 raised to the x minus 1 power plus 3 ?

Answer

Image with description A coordinate plane has both x and y axes labeled from negative 12 to 12. An exponential function is plotted with a horizontal asymptote at y equals negative 1. The curve passes through the point 0 comma 7 on the y-axis.

Image with description A coordinate plane has both x and y axes labeled from negative 12 to 12. An exponential function is plotted with a horizontal asymptote at y equals negative 3. The curve passes through the point 0 comma negative 2.5 on the y-axis.

Image with description A coordinate plane has both x and y axes labeled from negative 12 to 12. An exponential function is plotted with a horizontal asymptote at y equals 3. The curve passes through the point 0 comma 3.5 on the y-axis.

Explanation

For g(x) = 2^(x − 1) + 3, the +3 shifts the exponential graph up, so its horizontal asymptote is y = 3. At x = 0, g(0) = 2^(−1) + 3 = 0.5 + 3 = 3.5. Choice D has both this asymptote and this y-intercept.

AI-written and checked against the verified answer.

More from this Course

Pretest

Pretest

Pretest