Given a polynomial function f(x)=2x²+ 7x+6 and an exponential function g(x)=2+ 5, what key features do f(x) and g(x) have in common?

Both f(x) and g(x) increase over the interval of [-4,∞)

Both f(x) and g(x) have the same x-intercepts of (-2, 0) and (-1.5, 0).

Both fox) and gox) have the same y-intercept of (0,6)

Both f(x) and g(x) have the same range of (-00.01]

Question

04-08-2022
Mathematics

Answered

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Given a polynomial function f(x)=2x²+ 7x+6 and an exponential function g(x)=2+ 5, what key features do f(x) and g(x) have in common?

Both f(x) and g(x) increase over the interval of [-4,∞)

Both f(x) and g(x) have the same x-intercepts of (-2, 0) and (-1.5, 0).

Both fox) and gox) have the same y-intercept of (0,6)

Both f(x) and g(x) have the same range of (-00.01]

Sagot :

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Martebi Martebi · Answer 1 · 2022-08-05T16:35:03-04:00

Since the common features of the polynomial function is f(x) = 2x² + 7x + 6 and exponential function g(x) = 2^x + 5 then:

Both f(x) and g(x) have the same y-intercept of (0,6)

What is the polynomial function about?

Polynomial functions are known to be a kind of an expressions that is made up of a set of variables of different extent or degrees, non-zero coefficients, positive exponents (of variables), and also it is made up of constants.

Note that the equation of the functions are stated as:

f(x) = 2x² + 7x + 6

g(x) = 2^x + 5

The right and next thing to do is to plot a graph of both functions (see image attached)

From the graph, we have the fact that Both f(x) and g(x) have the same y-intercept of (0,6)

Therefore, Since the common features of the polynomial function is f(x) = 2x² + 7x + 6 and exponential function g(x) = 2^x + 5 then:

Both f(x) and g(x) have the same y-intercept of (0,6)

Learn more about polynomial function from

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Sagot :

What is the polynomial function about?

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