QuestionThe graph of the function g is shown above. If f is the function given by 𝑓(𝑥) =𝑔(𝑔(𝑥)) , what is the value of  𝑓'(0) ?Responses−2negative 2−1negative 1223

Consider the functions below.𝑓⁡(𝑥)=𝑥𝑔⁡(𝑥)=15⁢𝑥Which of the following statements describes the graph of function g? A. The graph of g is one-fifth as steep as the graph of f. B. The graph of g is one-fifth of a unit to the left of the graph of f. C. The graph of g is five times steeper than the graph of f. D. The graph of g is one-fifth of a unit to the right of the graph of f.

The table gives values for a polynomial function 𝑔 at selected values of 𝑥. If 𝑎<𝑏, then 𝑔𝑎>𝑔𝑏 for all 𝑎 and 𝑏 in the interval 3<𝑥<7. Which of the following could be true about the graph of 𝑔 on the interval 3<𝑥<7 ?ResponsesThe graph of 𝑔 is concave down because the function is decreasing, and the average rate of change over equal-length input-value intervals is increasing.The graph of  g  is concave down because the function is decreasing, and the average rate of change over equal-length input-value intervals is increasing.The graph of 𝑔 is concave up because the function is decreasing, and the average rate of change over equal-length input-value intervals is increasing.The graph of  g  is concave up because the function is decreasing, and the average rate of change over equal-length input-value intervals is increasing.The graph of 𝑔 is concave down because the function is decreasing, and the average rate of change over equal-length input-value intervals is decreasing.The graph of  g  is concave down because the function is decreasing, and the average rate of change over equal-length input-value intervals is decreasing.The graph of 𝑔 is concave up because the function is decreasing, and the average rate of change over equal-length input-value intervals is decreasing.

The graph of a function f is shown below.Find f0.

How does the graph of 𝑓(𝑥)=−32𝑥−4f(x)=−3 2x −4 differ from the graph of 𝑔(𝑥)=−32𝑥g(x)=−3 2x ?A.The graph of 𝑓(𝑥)f(x) is shifted four units to the right of the graph of 𝑔(𝑥)g(x).B.The graph of 𝑓(𝑥)f(x) is shifted four units down from the graph of 𝑔(𝑥)g(x).C.The graph of 𝑓(𝑥)f(x) is shifted four units up from the graph of 𝑔(𝑥)g(x).D.The graph of 𝑓(𝑥)f(x) is shifted four units to the left of the graph of 𝑔(𝑥)g(x).SUBMITarrow_backPREVIOUS

Which statement describes the graph of function g?f(x) = 2xg(x) = 2x + 3 A. The graph of g is 3 units below the graph of f. B. The graph of g is 3 units to the right of the graph of f. C. The graph of g is 3 units to the left of the graph of f. D. The graph of g is 3 units above the graph of f.