Question

Complete the equations

Answer 1

`\boxed{\bf f(x)=4\cdot \left(\cfrac{7}{4}\right)^x}`

Explanation:

In exponential form, a* b^x,

Where, "a" is value of the function when x=0 and "b" is the constant ratio of f(x) for consecutive for integer values of x.

Y-intercept : (0, 4) so, a = 4.

The graph also passes through (1,7), because 0 and 1 are consecutive integer x-values.

`\bf b=\cfrac{7}{4}`

So therefore, the equation for f(x) is :-

`\bf f(x)=4\cdot \left(\cfrac{7}{4}\right)^x`

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