Question

Which of the following are power​ functions?
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Part 1
Sellect all that apply.
A.
fequals7 Superscript x
B.
yequals7 x Superscript 4
C.
​g(x)equalsx Superscript 1 divided by 4
D.
dequalsq Superscript 4

Answer 1

A power function is generally of the form \( f(x) = k \cdot x^n \), where \( k \) is a constant and \( n \) is a real number.

Let's analyze each of the provided options:

A. \( f = 7^x \)
- This is an exponential function, not a power function. **Not a power function.**

B. \( y = 7x^4 \)
- This can be rewritten as \( y = 7 \cdot x^4 \), which fits the form of a power function. **Is a power function.**

C. \( g(x) = x^{1/4} \)
- This also fits the form of a power function with \( k = 1 \) and \( n = 1/4 \). **Is a power function.**

D. \( d = q^4 \)
- This can be rewritten as \( d = 1 \cdot q^4 \), which fits the form of a power function. **Is a power function.**

### Summary:
- **Is a power function:** B, C, D
- **Not a power function:** A