Answers JPS-202526-Chatfield Summer School-Algebra I A-CR-M1-AlleySolving Linear Equations: Variable on One Side

Geometric Sequences Answers

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Which graph represents a function with an initial value of ?

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.08), (0, 0.4), (1, 2).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.1), (0, 0.5), (1, 2.5).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.4), (0, 0.2), (1, 1).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.12), (0, 0.6), (1, 3).

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Which graph represents a function with a growth factor of 5?

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.125), (0, 0.25), (1, 0.5).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.125), (0, 0.5), (1, 2).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.04), (0, 0.2), (1, 1).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.06), (0, 0.6), (1, 6).

A 2-column table has 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is labeled f (x) with entries 0.004, 0.02, 0.1, 0.5.

0.2

0.1

Which statements are true for this function and graph? Select three options.

The initial value of the function is .

The base of the function is .

The function shows exponential decay.

The function is a stretch of the function f(x) = .

The function is a shrink of the function f(x) = 3x.

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 12.5, 2.5, 0.5, 0.1, 0.02.

f(x) = 0.2(0.5x)

f(x) = 0.5(5x)

f(x) = 0.5(0.2x)

f(x) = 0.2(0.2x)

A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 2. The second column is labeled f (x) with entries 18, 6, 2, two-thirds.

One-third

Two-thirds

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 0.2, 0.4, 0.8, 1.6, 3.2.

f(x) = 2(2x)

f(x) = 0.8(0.8x)

f(x) = 2(0.8x)

f(x) = 0.8(2x)

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, 3).

−4

−3

Which exponential function has an initial value of 2?

f(x) = 2(3x)

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(x) = 3(2x)

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries one-eighth, one-fourth, one-half, 1, 2.

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 1.5), (0, 3), (1, 6).

f(x) = 2(3x)

f(x) = 3(3x)

f(x) = 3(2x)

f(x) = 2(2x)

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