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QUESTION 1 [10] The accompanying diagram shows the graph of f(x) = a* B 1.1. Write down the coordinate of A; explain. 1.2. How can we tell that: 0 < a < 1? 1.3. Determine a if B is the point (4;). (3) (2) 1.4. Determine the equation of the graph obtained if the graph above is reflected about the y-axis 1.5. Write down the coordinates of the point of intersection of the two graphs. (2 (2) (1)
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Respuesta :

The Coordinate of A is (0, 1) and the equation of the graph with B coordinate is ¹/₂^(ˣ) - (¹/₂)x

How to interpret Graph Functions?

The equation of the accompanying graph is;

f(x) = aˣ

1) We want to write the coordinate of A. Thus;

f(0) = a⁰ = 1

Thus;

Coordinate of A = (0, 1)

2) The way we can tell that: 0 < a < 1 is; From figure number and inverse functions.

3) If B is the point (4, ¹/₁₆), then;

f(4) = a⁴ = ¹/₁₆

a = ⁴√(¹/₁₆)

a = ¹/₂

4) The equation of the graph with B coordinate is;

y - ax

⇒ ¹/₂^(ˣ) - (¹/₂)x

5) To get the coordinates of the point of intersection of the two graphs is;

¹/₂^(ˣ) - (¹/₂)x = ¹/₂^(ˣ)

⇒ (¹/₂)x = 0

x = 0

Thus, the coordinate of the intersection is; (0, 0)

Read more about graph Functions at; https://brainly.com/question/4025726

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