How would you identify the number of real roots of a polynomial function from the graph of the function​

Hi there! See an attachment below! (May not be clear for an explanation so I will explain it to you.)

We can find real roots of polynomial function by counting their x-intercepts of graph. See in the attachment that the graph intersects 3 points on x-axis/plane.

x-axis represents the solutions of the graph or equation of the graph. For example, a graph of (x-1)² would be a parabola that has x-intercept at (1,0). If we solve the equation for (x-1)² = 0, our solution would be x = 1 like the x-intercepts.

Conclusions

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step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places