Question

Which points are on the graph of k(x)=(1/4)^x ?

Select each correct answer.



(3, 164)

(−1, 4)

(0, 14)

(1, 4)

Answer 1

Answers are choice 2 (-1,4) and choice 1 (3 1/64)

Just took the test, Hope this helps!

Answer 2

The points on the graph of a function are the true values of the function

The points on the graph of $\mathbf{k(x) = (\frac{1}{4})^x}$ are (a) (3, 1/64), (b) (-1, 4) and (d) (1, 4)

The function is given as:

$\mathbf{k(x) = (\frac{1}{4})^x}$

(a) (3, 1/64)

Substitute 3 for x

$\mathbf{k(3) = (\frac{1}{4})^3}$

Expand

$\mathbf{k(3) = \frac{1}{64}}$

Hence, (3,1/164) is true

(b) (-1, 4)

Substitute -1 for x

$\mathbf{k(-1) = (\frac{1}{4})^{-1}}$

Simplify

$\mathbf{k(-1) = 4}$

Hence, (-1,4) is true

(c) (0, 1/4)

Substitute 0 for x

$\mathbf{k(0) = (\frac{1}{4})^{0}}$

Simplify

$\mathbf{k(0) = 1}$

Hence, (0,1/4) is false

(d) (1, 4)

Substitute 1 for x

$\mathbf{k(1) = (\frac{1}{4})^{1}}$

Evaluate the exponents

$\mathbf{k(1) = \frac 14}$

Hence, (1,4) is true

Hence, the points on the graph of $\mathbf{k(x) = (\frac{1}{4})^x}$ are (a) (3, 1/64), (b) (-1, 4) and (d) (1, 4)

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