$5)$ When an image utilizes the full range of pixel intensities, contrast or brightness adjustments inherently lead to some range of these original intensities becoming blacked$/$whited out in the altered image. This is why gamma corrections might be used in some cases as opposed to linear adjustments.In this problem you will explore the common case where the full range of pixel intensities are not being utilized and contrast$/$brightness adjustments can be used to spread the original data over the full range of display intensities.The image series below shows what occurs when a contrast adjustment is applied, followed by a brightness adjustment. If most of the pixels had original values between $0\mathrm{.}2$ to $0\mathrm{.}6($i$.$e$.20-60\%$ intensity, range highlighted$)$ the new display condition would display these same pixels with higher contrast and with a better balance of dark and light pixels.$\%$ change in contrast $=($range of possible inputs included$)($range of outputs possible$)\%$ change in brightness $=$ shift of the output values$12$ pts $-$ If the original pixel intensities of an image all have values falling between $0\mathrm{.}6$ to $0\mathrm{.}8,$ what sequence of contrast and brightness changes would need to be applied to have these displayed over the full range of $0$ to $1?$Answer with numerical percentages and clearly draw what the new response function chart will look like.