Vertical Stretches and Shrinks of Exponential Functions — Quiz

Question 6 • Algebra: Concepts and Connections

Which exponential function has an initial value of 2 ?

Answer

Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 2'; Column 2, '1 eighth' Row 3: Column 1, 'negative 1'; Column 2, '1 fourth' Row 4: Column 1, '0'; Column 2, '1 half' Row 5: Column 1, '1'; Column 2, '1' Row 6: Column 1, '2'; Column 2, '2'

Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (2, 2).

f of x is equal to 3 times open paren 2 to the x th power close paren

f of x is equal to 2 times open paren 3 to the x th power close paren

Explanation

The initial value of an exponential function is its value when x = 0, which is also its y-intercept. In choice A, f(0) = 2 × 3⁰ = 2, since 3⁰ = 1. Choice A, f(x) = 2(3ˣ), therefore has an initial value of 2; the other choices have y-intercepts of 3, 0.5, and 0.5.

AI-written and checked against the verified answer.

More from this Course

Quiz

Quiz

Quiz