Use a calculated to evaluate the function at the indicated values. Record your a

Question

Use a calculated to evaluate the function at the indicated values. Record your answer so three decimal, f (x) = 4'; f(1/2), f(Squareroot 5), f(-2), f(0, 3) f (x) = 3^x-1; f(1/2), f(2 5), f(-1), f(1/4) g (x) = (1/3^x+1); g(1/2), g(Squareroot 2), f(-3.5), f(-1, 4) g (x) = (4/5^3x); g(-1/2), g(Squareroot 6), g(-3), g(4/3) Sketch the graph of the function by making a table of values Use a calculator if recovery. f(x) = 2' g(x) = 8' f(x) = (1/3) h(x) = (1, 1)' g(x) = 3(1, 3)' h(x) = 2(1/2)' Graph both function on one set of axes. f(x) = 2^n and g(x) = 2^-x f(x) = 3^-4 and g(x) = (1/5)^n f(x) = 4' and g(x) = 7' f(x) = (3/4)' and g(x) = 1.5' Find the exponential function f(x) = a whose graph is given. Match the exponential function with one of the graphs labeled I or II. f(x) = 5^x + 1 f(x) = 5' + 1

Explanation / Answer

Let the general exponential function be :

y = a(b)^x

It passes through ( 0, 1) : 1 = a

y = b^x .It passes through (-3, 8)

So, 8 = b^-3

b^3 = 1/8 ; b = 1/2

So, y = (1/2)^x

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