Which of the following statements is true about the exponential function ℎ given by ℎ𝑥=-3·4𝑥 ?Responsesℎ is always increasing, and the graph of ℎ is always concave up.h  is always increasing, and the graph of  h  is always concave up.ℎ is always increasing, and the graph of ℎ is always concave down.h  is always increasing, and the graph of  h  is always concave down.ℎ is always decreasing, and the graph of ℎ is always concave up.h  is always decreasing, and the graph of  h  is always concave up.ℎ is always decreasing, and the graph of ℎ is always concave down.

Instructions: Determine whether graphs of each of the exponential functions would show vertical stretch or vertical compression and whether there is reflection over the x𝑥-axis.y=−2(3)x𝑦=−2(3)𝑥Vertical Answer 1 Question 14Reflection over the x𝑥-axis? Answer 2 Question 14

This is the graph of the exponential function f(x).-6-5-4-3-2-1123456-6-5-4-3-2-1123456xyThe function g(x) is defined by g(x)=2x–2.Decide whether each statement is true or false.TrueFalseOn the interval from x=0 to x=3, the average rate of change of f(x) is greater than the average rate of change of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).The value f(1) is less than the y-intercept of g(x).The functions f(x) and g(x) have the same x-intercept.The value f(2) is equal to the value g(2).Submit

Instructions: Graph the following function. Then, state whether the function represents exponential growth or decay.y=11x𝑦=11𝑥This function is exponential

Select the correct answer.Consider function f.𝑓⁡(𝑥)={2𝑥,𝑥<0-𝑥2−4⁢𝑥+1,0<𝑥<212⁢𝑥+3,𝑥>2Which statement is true about function f? A. The function is continuous. B. The function is increasing over its entire domain. C. The domain is all real numbers. D. As x approaches positive infinity, 𝑓⁡(𝑥) approaches positive infinity.

Which of the following correctly describes the graph of 𝑓(𝑥)=−4𝑥2+16𝑥−2 ?Group of answer choicesThe graph is an exponential function with a y-intercept at (2,14) and a horizontal asymptote at 𝑦=−2.The graph is a parabola with a vertex at (16,2), a y-intercept at (0,2), and the parabola opens down.The graph is a parabola with a vertex at (2,14), a y-intercept at (0,−2), and the parabola opens down.The graph is an exponential function with a y-intercept at (0,−2) and a horizontal asymptote at 𝑦=2.The graph is a parabola with a vertex at (2,14), a y-intercept at (0,2), and the parabola opens up.