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Consider the function f(x)=2ˣ⁺³. What is the y-intercept? and What is the common ratio?

User Qbi
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Final answer:

The y-intercept of the function f(x) = 2ˣ⁺³ is (0, 8), and the common ratio is 2.

Step-by-step explanation:

The y-intercept of a function represents the point where the graph of the function intersects the y-axis. To find the y-intercept of the function f(x) = 2ˣ⁺³, we substitute x = 0 into the function and solve for y:

f(0) = 2⁰⁺³ = 2⁰ × 2³ = 1 × 8 = 8

Therefore, the y-intercept is (0, 8).

The common ratio of an exponential function is the value multiplied to the base for each consecutive term. In the function f(x) = 2ˣ⁺³, the base is 2, so the common ratio is also 2.

User Nornagon
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