Question

consider the following function.

h(x)=-\frac{5}{8}x^{5}

step 2 of 2: find two points on the graph of this function, other than the origin, that fit within the given (-10,10) by (-10,10) grid. express each coordinate as an integer or simplified fraction, or round to four decimal places as necessary.

Explanation:

Step1: Choose an \(x\) - value

Let \(x = 1\).

Step2: Calculate the corresponding \(y\) - value

Substitute \(x = 1\) into \(h(x)=-\frac{5}{8}x^{5}\). Then \(h(1)=-\frac{5}{8}(1)^{5}=-\frac{5}{8}=- 0.625\). So one point is \((1,-0.625)\).

Step3: Choose another \(x\) - value

Let \(x=-1\).

Step4: Calculate the corresponding \(y\) - value

Substitute \(x = - 1\) into \(h(x)=-\frac{5}{8}x^{5}\). Then \(h(-1)=-\frac{5}{8}(-1)^{5}=\frac{5}{8}=0.625\). So another point is \((-1,0.625)\).

Answer:

\((1,-0.625),(-1,0.625)\)