Blog

Find a 3rd degree polynomial with the following characteristics. A root of multiplicity 2 at x = 4, root of multiplicity 1 at x = -2, y-intercept of (0, -8)

The graph on the left shows the absolute function f(x)=x{“version”:”1.1″,”math”:”f(x)=x”}. Find the equation of the transformed function on the right.

For the pair of functions, find the indicated composition. f(x)=4×2+3x+5, g(x)=3x-3{“version”:”1.1″,”math”:”f(x)=4×2+3x+5, g(x)=3x-3″} find (g o f)(x)

Solve the rational equation, 1x+1x+6=x+7x+6{“version”:”1.1″,”math”:”1x+1x+6=x+7x+6″}

If f(x){“version”:”1.1″,”math”:”f(x)”} = 2×2{“version”:”1.1″,”math”:”x2″} + {b}x + {c}, and g(x){“version”:”1.1″,”math”:”g(x)”} = x + 1 find (f o g)({x})

The graph of f(x)=2x{“version”:”1.1″,”math”:”f(x)=2x”} is shifted down 2 units and left 3 units. Find the transformed function.

Find the domain and range of the exponential function f(x)=3x-2-4{“version”:”1.1″,”math”:”f(x)=3x-2-4″}. Use the infinity symbol or “inf” if needed.

Choose the correct graph of the rational function. f(x)=2x-4x-1{“version”:”1.1″,”math”:”f(x)=2x-4x-1″}

Foe the piecewise function f(x)=-x+2,x

The size, P, of a zombie population at time t is given by the function P(t)=aebt{“version”:”1.1″,”math”:”P(t)=aebt”}, where a = {a}, b = {b}, and t is measured in days. Find the zombie population after 30 days. Round answer to a whole number of zombies.