F(x)=2x is transformed to g(x)=5⋅2x . How was the graph affected?

shifted up by 5 units

shifted down by 5 units

stretched by a factor of 5 units

compressed by a factor of 5 units

The exponential function f(x) = 2x−1+4
is shifted up 2 units and right 3 units. What is the new equation of the transformed graph g(x)

?

g(x)=2x−4+6

g(x)=2x+1+7

g(x)=2x−3+7

g(x)=2x+2+6

The discrete random variables x and y take integer values with joint probability distribution given by f (x,y) = a(y−x+1) 0 ≤ x ≤ y ≤ 2 or =0 otherwise, where a is a constant. 1 tabulate the distribution and show that a = 0.1.2 find the marginal distributions of x and y. 3 calculate cov(x,y).4 state, giving a reason, whether x and y are independent. 5 calculate e(y|x = 1).