Question

graph this function.
\\( y = 0.5(6)^x \\)
plot two points to graph the function.
(graph with x-axis from -8 to 8 and y-axis from -8 to 8, grid lines, and a submit button, along with help options: evaluate an exponential function, negative exponents, lesson: exponential functions)

Explanation:

Step1: Choose \( x = 0 \)

Substitute \( x = 0 \) into \( y = 0.5(6)^x \). Using the property \( a^0 = 1 \) (where \( a = 6 \)), we get \( y = 0.5(6)^0 = 0.5\times1 = 0.5 \). So the point is \( (0, 0.5) \).

Step2: Choose \( x = 1 \)

Substitute \( x = 1 \) into \( y = 0.5(6)^x \). Then \( y = 0.5(6)^1 = 0.5\times6 = 3 \). So the point is \( (1, 3) \).
(To graph, plot these two points \((0, 0.5)\) and \((1, 3)\) on the coordinate plane and draw the exponential curve through them.)

Answer:

Two points to plot are \((0, 0.5)\) and \((1, 3)\) (and then draw the exponential curve through them).