[{"imagePath":"https://cheese-dev-private.oss-accelerate.aliyuncs.com/question-bank/20704/images/question_page4_fig2.png?Expires=1787547201&OSSAccessKeyId=LTAI5tBkpnvfHGLvVMHy3DDR&Signature=e9H55%2BU6xjG%2BgF7rPgJ3BWdDfyM%3D","image_path":"https://cheese-dev-private.oss-accelerate.aliyuncs.com/question-bank/20704/images/question_page4_fig2.png?Expires=1787547201&OSSAccessKeyId=LTAI5tBkpnvfHGLvVMHy3DDR&Signature=e9H55%2BU6xjG%2BgF7rPgJ3BWdDfyM%3D","caption":"","mathpixNormalized":true,"type":"figure","mathpix_normalized":true},{"plain_text":"The figure above shows the graph of the piecewise-linear function f. For -4 <= x <= 12, the function g is defined by g(x)=_2^x f(t) d t.","content_segments":[{"text":"The figure above shows the graph of the piecewise-linear function f. For ","type":"text"},{"renderMode":"math","plain_text":"-4 <= x <= 12","render_mode":"math","display":false,"plainText":"-4 <= x <= 12","type":"math","latex":"-4 \\leq x \\leq 12"},{"text":", the function g is defined by ","type":"text"},{"renderMode":"math","plain_text":"g(x)=_2^x f(t) d t","render_mode":"math","display":false,"plainText":"g(x)=_2^x f(t) d t","type":"math","latex":"g(x)=\\int_{2}^{x} f(t) d t"},{"text":".","type":"text"}],"plainText":"The figure above shows the graph of the piecewise-linear function f. For -4 <= x <= 12, the function g is defined by g(x)=_2^x f(t) d t.","mathpixNormalized":true,"type":"text","contentSegments":[{"text":"The figure above shows the graph of the piecewise-linear function f. For ","type":"text"},{"renderMode":"math","plain_text":"-4 <= x <= 12","render_mode":"math","display":false,"plainText":"-4 <= x <= 12","type":"math","latex":"-4 \\leq x \\leq 12"},{"text":", the function g is defined by ","type":"text"},{"renderMode":"math","plain_text":"g(x)=_2^x f(t) d t","render_mode":"math","display":false,"plainText":"g(x)=_2^x f(t) d t","type":"math","latex":"g(x)=\\int_{2}^{x} f(t) d t"},{"text":".","type":"text"}],"content":"The figure above shows the graph of the piecewise-linear function f. For \\(-4 \\leq x \\leq 12\\), the function g is defined by \\(g(x)=\\int_{2}^{x} f(t) d t\\).","mathpix_normalized":true},{"plain_text":"For -4 <= x <= 12, find all intervals for which g(x) <= 0.","content_segments":[{"text":"For ","type":"text"},{"renderMode":"math","plain_text":"-4 <= x <= 12","render_mode":"math","display":false,"plainText":"-4 <= x <= 12","type":"math","latex":"-4 \\leq x \\leq 12"},{"text":", find all intervals for which ","type":"text"},{"renderMode":"math","plain_text":"g(x) <= 0","render_mode":"math","display":false,"plainText":"g(x) <= 0","type":"math","latex":"g(x) \\leq 0"},{"text":".","type":"text"}],"plainText":"For -4 <= x <= 12, find all intervals for which g(x) <= 0.","mathpixNormalized":true,"type":"text","contentSegments":[{"text":"For ","type":"text"},{"renderMode":"math","plain_text":"-4 <= x <= 12","render_mode":"math","display":false,"plainText":"-4 <= x <= 12","type":"math","latex":"-4 \\leq x \\leq 12"},{"text":", find all intervals for which ","type":"text"},{"renderMode":"math","plain_text":"g(x) <= 0","render_mode":"math","display":false,"plainText":"g(x) <= 0","type":"math","latex":"g(x) \\leq 0"},{"text":".","type":"text"}],"content":"For \\(-4 \\leq x \\leq 12\\), find all intervals for which \\(g(x) \\leq 0\\).","mathpix_normalized":true}]

FUN-5.A—Represent accumulation functions using definite integrals—Topic 6.5 question 1