Problem

Compare the zeros, \(x\text{-}\text{intercepts}\), and \(y\text{-}\text{intercepts}\) of \(f(x)~=~2^x\) and \(g(x)~=~x~-~1\). State how every compared feature matches or differs.

Graphs of 2 to the x and x minus 1 on shared axes.

Answer choices

Choose your path.

Preview only

f has no zero or x-intercept and y-intercept (0, 1). g has zero −1, x-intercept (−1, 0), and y-intercept (0, 1), so all compared intercept features differ.

f has zero 0 and x-intercept (0, 0) and y-intercept (0, 1). g has zero 1, x-intercept (1, 0), and y-intercept (0, −1), so all compared intercept features differ.

f has no zero or x-intercept and y-intercept (0, 1). g has zero 1, x-intercept (1, 0), and y-intercept (0, −1), so the functions have identical intercepts.

f has no zero or x-intercept and y-intercept (0, 1). g has zero 1, x-intercept (1, 0), and y-intercept (0, −1), so all compared intercept features differ.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Compare the zeros, \(x\text{-}\text{intercepts}\), and \(y\text{-}\text{intercepts}\) of \(f(x)~=~2^x\) and \(g(x)~=~x~-~1\). State how every compared feature matches or differs.

Turn the preview into practice.

Gozunta lets you study this problem—and more than 10,000 others.