Find a formula of exponential growth or decay from two points - High school Algebra I Exercises

f\left(1\right)=3 and f\left(2\right)=8.

Assuming that f grows exponentially, what is the formula of growth of f ?

f\left(x\right)=\dfrac{9}{8}\cdot \left( \dfrac{8}{3} \right)^{x}

f\left(x\right)=8\cdot \left( \dfrac{3}{8} \right)^{x}

f\left(x\right)=8\cdot \left( \dfrac{5}{3} \right)^{x}

f\left(x\right)=\dfrac{9}{8}\cdot \left( \dfrac{5}{3} \right)^{x}

f\left(1\right)=5 and f\left(2\right)=15.

Assuming that f grows exponentially, what is the formula of growth of f ?

f\left(x\right)=15\cdot \left( \dfrac{1}{3} \right)^{x}

f\left(x\right)=\dfrac{5}{3}\cdot \left( 3 \right)^{x}

f\left(x\right)=15\cdot \left( 3 \right)^{x-1}

f\left(x\right)=\dfrac{1}{3}\cdot \left( 5 \right)^{x}

f\left(1\right)=100 and f\left(3\right)=25.

Assuming that f decays exponentially, what is the formula of decay of f ?

f\left(x\right)=100\cdot \left( \dfrac{1}{4} \right)^{x}

f\left(x\right)=50\cdot \left( \dfrac{1}{2} \right)^{x-1}

f\left(x\right)=200\cdot \left( \dfrac{1}{2} \right)^{x}

f\left(x\right)=100\cdot \left( \dfrac{1}{2} \right)^{x}

f\left(-1\right)=\dfrac{1}{4} and f\left(2\right)=2.

Assuming that f grows exponentially, what is the formula of growth of f ?

f\left(x\right)=\dfrac{1}{8}\cdot \left( 2 \right)^{x}

f\left(x\right)=4\cdot \left( \dfrac{1}{8} \right)^{x-1}

f\left(x\right)=\dfrac{1}{4}\cdot \left( 2 \right)^{x}

f\left(x\right)=\dfrac{1}{2}\cdot \left( 2 \right)^{x}

f\left(1\right)=3 and f\left(4\right)=24.

Assuming that f grows exponentially, what is the formula of growth of f ?

f\left(x\right)=\dfrac{3}{2}\cdot \left( 2 \right)^{x}

f\left(x\right)=\dfrac{2}{3}\cdot \left( 2 \right)^{x}

f\left(x\right)=3\cdot \left( 2 \right)^{x-1}

f\left(x\right)=\dfrac{3}{4}\cdot \left( 2 \right)^{x}

f\left(-3\right)=80 and f\left(0\right)=10.

Assuming that f decays exponentially, what is the formula of decay of f ?

f\left(x\right)=80\cdot \left( \dfrac{1}{8} \right)^{x-1}

f\left(x\right)=10\cdot \left( \dfrac{1}{2} \right)^{x}

f\left(x\right)=80\cdot \left( \dfrac{1}{8} \right)^{x+1}

f\left(x\right)=\dfrac{1}{8}\cdot \left( 2 \right)^{x}

f\left(-1\right)=5 and f\left(1\right)=45.

Assuming that f grows exponentially, what is the formula of growth of f ?

f\left(x\right)=15\cdot \left( \dfrac{1}{3} \right)^{x}

f\left(x\right)=5\cdot 3^{x}

f\left(x\right)=5\cdot 9^{x-1}

f\left(x\right)=15\cdot 3^{x}