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

Question 1. Graph each function, not by plotting points, but by starting with the graph of one of the standard functions?(Hint: First sketch the basic standard function and then show how it changes by shifting, compressing/stretching orreflection) (20 Point)a) 𝒚 = 𝟐|𝒙 + 𝟐| − 𝟏b) 𝐲 = √𝒙 − 𝟏𝟑 + 𝟏Question 2. Determine whether the graph of the functions below are symmetric about the y-axis, the origin, orneither?(20 Points)a) 𝒚 = 𝒙 − 𝒔𝒊𝒏𝒙b) 𝒚 = 𝒙𝟒 − 𝒙𝟐 − 𝟑Question 3. Find the following limits? (30 Points)a) 𝑙𝑖𝑚𝑥→44𝑥−𝑥22−√𝑥b) 𝑙𝑖𝑚𝑥→0tan 3𝑥sin 8𝑥c) 𝑙𝑖𝑚𝑥→∞9𝑥4+ 𝑥3𝑥4−5𝑥2+𝑥−2Question 4. Find Horizontal asymptotes of the Function below, and determine the behaviour of the function around theasymptotes?(30 Points)𝒇(𝒙) = 𝒙 + 𝟏𝒙𝟐 − 𝟏

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

The graph of a logarithmic function is always the graph of the corresponding exponential function reflected over the line y = x.Question 11Select one:TrueFalse

Which function would be produced by a horizontal stretch of the graph of y = √ x 𝑦 = 𝑥 followed by a reflection in the x 𝑥 -axis? option 1 of 4 y = √ 2 ( − x ) 𝑦 = 2 ( − 𝑥 ) y = √ 2 ( − x ) 𝑦 = 2 ( − 𝑥 ) option 1 of 4 option 2 of 4 y = − √ 2 x 𝑦 = − 2 𝑥 y = − √ 2 x 𝑦 = − 2 𝑥 option 2 of 4 option 3 of 4 y = √ 1 2 ( − x ) 𝑦 = 1 2 ( − 𝑥 ) y = √ 1 2 ( − x ) 𝑦 = 1 2 ( − 𝑥 ) option 3 of 4 option 4 of 4 y = − √ 1 2 x