Question

If k is not zero the graph of the power function y = 7x^k in concave up.
a-true
b-false

Answer 1

The statement that if k is not zero, the graph of the power function y =
`7x^k`ncave up is true.

Step-by-step explanation:

The statement that if k is not zero, the graph of the power function y =
`7x^k`oncave up is true.

In a power function, the concavity of the graph depends on the value of the exponent k.

If k is positive, the graph is concave up, meaning it opens upwards like a U-shape.

On the other hand, if k is negative, the graph is concave down, meaning it opens downwards like an inverted U-shape.

Therefore, since the given function has k as a variable and not zero, its graph is indeed concave up.